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145553472 = 2632594283
BaseRepresentation
bin10001010110011…
…11100001000000
3101010212212211100
420223033201000
5244230202342
622235414400
73415120101
oct1053174100
9333785740
10145553472
1175185529
12408b4400
132420301c
141548c3a8
15cba1e4c
hex8acf840

145553472 has 84 divisors (see below), whose sum is σ = 424373040. Its totient is φ = 47684352.

The previous prime is 145553467. The next prime is 145553483. The reversal of 145553472 is 274355541.

145553472 is a `hidden beast` number, since 1 + 4 + 55 + 534 + 72 = 666.

It is a super-2 number, since 2×1455534722 = 42371626422509568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31843 + ... + 36125.

It is an arithmetic number, because the mean of its divisors is an integer number (5052060).

Almost surely, 2145553472 is an apocalyptic number.

145553472 is a gapful number since it is divisible by the number (12) 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 145553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212186520).

145553472 is an abundant number, since it is smaller than the sum of its proper divisors (278819568).

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

145553472 is a wasteful number, since it uses less digits than its factorization.

145553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4347 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 145553472 is about 12064.5543639208. The cubic root of 145553472 is about 526.0263785101.

The spelling of 145553472 in words is "one hundred forty-five million, five hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 4283 5664 8496 8566 11328 12849 16992 17132 25698 33984 34264 38547 51396 68528 77094 102792 137056 154188 205584 252697 274112 308376 411168 505394 616752 758091 822336 1010788 1233504 1516182 2021576 2274273 2467008 3032364 4043152 4548546 6064728 8086304 9097092 12129456 16172608 18194184 24258912 36388368 48517824 72776736 145553472