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1453804128 = 25327314717
BaseRepresentation
bin101011010100111…
…0100101001100000
310202022120220100100
41112221310221200
510434133213003
6400132022400
751012063000
oct12651645140
93668526310
101453804128
116866a8617
12346a61a00
131a226953a
14db11a000
1587971ba3
hex56a74a60

1453804128 has 144 divisors (see below), whose sum is σ = 4821616800. Its totient is φ = 415344384.

The previous prime is 1453804103. The next prime is 1453804129. The reversal of 1453804128 is 8214083541.

1453804128 is a `hidden beast` number, since 1 + 453 + 80 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14538041282 = 4227092885179680768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1453804092 and 1453804101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453804129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91426 + ... + 106142.

It is an arithmetic number, because the mean of its divisors is an integer number (33483450).

Almost surely, 21453804128 is an apocalyptic number.

1453804128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410808400).

1453804128 is an abundant number, since it is smaller than the sum of its proper divisors (3367812672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1453804128 is a wasteful number, since it uses less digits than its factorization.

1453804128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14754 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1453804128 is about 38128.7834581698. The cubic root of 1453804128 is about 1132.8401492760.

Adding to 1453804128 its reverse (8214083541), we get a palindrome (9667887669).

The spelling of 1453804128 in words is "one billion, four hundred fifty-three million, eight hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 14717 16464 24696 29434 32928 44151 49392 58868 88302 98784 103019 117736 132453 176604 206038 235472 264906 309057 353208 412076 470944 529812 618114 706416 721133 824152 927171 1059624 1236228 1412832 1442266 1648304 1854342 2119248 2163399 2472456 2884532 3296608 3708684 4238496 4326798 4944912 5047931 5769064 6490197 7417368 8653596 9889824 10095862 11538128 12980394 14834736 15143793 17307192 20191724 23076256 25960788 29669472 30287586 34614384 40383448 45431379 51921576 60575172 69228768 80766896 90862758 103843152 121150344 161533792 181725516 207686304 242300688 363451032 484601376 726902064 1453804128