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453241728 = 27321073677
BaseRepresentation
bin11011000000111…
…110101110000000
31011120212001202200
4123000332232000
51412012213403
6112550313200
714142330312
oct3300765600
91146761680
10453241728
11212930245
12107958800
1372b93394
14442a37b2
1529bcdca3
hex1b03eb80

453241728 has 96 divisors (see below), whose sum is σ = 1316797560. Its totient is φ = 149627904.

The previous prime is 453241699. The next prime is 453241741. The reversal of 453241728 is 827142354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 a junction number, because it is equal to n+sod(n) for n = 453241692 and 453241701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121426 + ... + 125102.

Almost surely, 2453241728 is an apocalyptic number.

453241728 is a gapful number since it is divisible by the number (48) 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 453241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658398780).

453241728 is an abundant number, since it is smaller than the sum of its proper divisors (863555832).

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

453241728 is a wasteful number, since it uses less digits than its factorization.

453241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3789 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 453241728 is about 21289.4745825255. The cubic root of 453241728 is about 768.1451548551.

The spelling of 453241728 in words is "four hundred fifty-three million, two hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1152 1284 1712 1926 2568 3424 3677 3852 5136 6848 7354 7704 10272 11031 13696 14708 15408 20544 22062 29416 30816 33093 41088 44124 58832 61632 66186 88248 117664 123264 132372 176496 235328 264744 352992 393439 470656 529488 705984 786878 1058976 1180317 1411968 1573756 2117952 2360634 3147512 3540951 4235904 4721268 6295024 7081902 9442536 12590048 14163804 18885072 25180096 28327608 37770144 50360192 56655216 75540288 113310432 151080576 226620864 453241728