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64782864 = 24322811601
BaseRepresentation
bin1111011100100…
…0001000010000
311111220022101100
43313020020100
5113041022424
610232304400
71414434216
oct367101020
9144808340
1064782864
1133628363
1219842100
1310562c73
148864cb6
155a49dc9
hex3dc8210

64782864 has 60 divisors (see below), whose sum is σ = 182060892. Its totient is φ = 21504000.

The previous prime is 64782853. The next prime is 64782871. The reversal of 64782864 is 46828746.

It can be written as a sum of positive squares in 2 ways, for example, as 58064400 + 6718464 = 7620^2 + 2592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39664 + ... + 41264.

Almost surely, 264782864 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 64782864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91030446).

64782864 is an abundant number, since it is smaller than the sum of its proper divisors (117278028).

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

64782864 is a wasteful number, since it uses less digits than its factorization.

64782864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1887 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 64782864 is about 8048.7802802661. The cubic root of 64782864 is about 401.6243613630.

The spelling of 64782864 in words is "sixty-four million, seven hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1601 1686 2248 2529 3202 3372 4496 4803 5058 6404 6744 9606 10116 12808 13488 14409 19212 20232 25616 28818 38424 40464 57636 76848 115272 230544 449881 899762 1349643 1799524 2699286 3599048 4048929 5398572 7198096 8097858 10797144 16195716 21594288 32391432 64782864