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53157672 = 2332738301
BaseRepresentation
bin1100101011000…
…1111100101000
310201000200121200
43022301330220
5102102021142
65135204200
71213555431
oct312617450
9121020550
1053157672
1128008167
1215976660
13b022759
1470ba488
154a0064c
hex32b1f28

53157672 has 24 divisors (see below), whose sum is σ = 143968890. Its totient is φ = 17719200.

The previous prime is 53157661. The next prime is 53157673. The reversal of 53157672 is 27675135.

53157672 is a `hidden beast` number, since 531 + 57 + 6 + 72 = 666.

53157672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45239076 + 7918596 = 6726^2 + 2814^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (53157673) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 369079 + ... + 369222.

Almost surely, 253157672 is an apocalyptic number.

It is an amenable number.

53157672 is an abundant number, since it is smaller than the sum of its proper divisors (90811218).

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

53157672 is a wasteful number, since it uses less digits than its factorization.

53157672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738313 (or 738306 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 53157672 is about 7290.9308047738. The cubic root of 53157672 is about 376.0006979012. Note that the first 3 decimals are identical.

The spelling of 53157672 in words is "fifty-three million, one hundred fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 738301 1476602 2214903 2953204 4429806 5906408 6644709 8859612 13289418 17719224 26578836 53157672