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64157328 = 2432445537
BaseRepresentation
bin1111010010111…
…1011010010000
311110201112022100
43310233122100
5112411013303
610211040400
71406220414
oct364573220
9143645270
1064157328
1133240394
12195a0100
13103a4321
148740d44
1559748a3
hex3d2f690

64157328 has 30 divisors (see below), whose sum is σ = 179551814. Its totient is φ = 21385728.

The previous prime is 64157311. The next prime is 64157329. The reversal of 64157328 is 82375146.

64157328 is a `hidden beast` number, since 64 + 1 + 573 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60652944 + 3504384 = 7788^2 + 1872^2 .

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 = 64157292 and 64157301.

It is not an unprimeable number, because it can be changed into a prime (64157329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222625 + ... + 222912.

Almost surely, 264157328 is an apocalyptic number.

It is an amenable number.

64157328 is an abundant number, since it is smaller than the sum of its proper divisors (115394486).

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

64157328 is a wasteful number, since it uses less digits than its factorization.

64157328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445551 (or 445542 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 64157328 is about 8009.8269644231. The cubic root of 64157328 is about 400.3274984554.

It can be divided in two parts, 641573 and 28, that added together give a square (641601 = 8012).

The spelling of 64157328 in words is "sixty-four million, one hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 445537 891074 1336611 1782148 2673222 3564296 4009833 5346444 7128592 8019666 10692888 16039332 21385776 32078664 64157328