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64157472 = 2532367607
BaseRepresentation
bin1111010010111…
…1011100100000
311110201112111200
43310233130200
5112411014342
610211041200
71406221011
oct364573440
9143645450
1064157472
1133240505
12195a0200
13103a4402
148741008
15597494c
hex3d2f720

64157472 has 72 divisors (see below), whose sum is σ = 183246336. Its totient is φ = 21292416.

The previous prime is 64157459. The next prime is 64157477. The reversal of 64157472 is 27475146.

64157472 is a `hidden beast` number, since 641 + 5 + 7 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (64157477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105393 + ... + 105999.

It is an arithmetic number, because the mean of its divisors is an integer number (2545088).

Almost surely, 264157472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91623168).

64157472 is an abundant number, since it is smaller than the sum of its proper divisors (119088864).

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

64157472 is a wasteful number, since it uses less digits than its factorization.

64157472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 64157472 is about 8009.8359533763. The cubic root of 64157472 is about 400.3277979645.

The spelling of 64157472 in words is "sixty-four million, one hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 367 607 734 1101 1214 1468 1821 2202 2428 2936 3303 3642 4404 4856 5463 5872 6606 7284 8808 9712 10926 11744 13212 14568 17616 19424 21852 26424 29136 35232 43704 52848 58272 87408 105696 174816 222769 445538 668307 891076 1336614 1782152 2004921 2673228 3564304 4009842 5346456 7128608 8019684 10692912 16039368 21385824 32078736 64157472