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56528064 = 263332713
BaseRepresentation
bin1101011110100…
…0110011000000
310221100220221000
43113220303000
5103432344224
65335332000
71254323565
oct327506300
9127326830
1056528064
11299aa40a
1216b21000
13b932878
14771686c
154e690c9
hex35e8cc0

56528064 has 56 divisors (see below), whose sum is σ = 166187120. Its totient is φ = 18842112.

The previous prime is 56528057. The next prime is 56528071. The reversal of 56528064 is 46082565.

It is an interprime number because it is at equal distance from previous prime (56528057) and next prime (56528071).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14629 + ... + 18084.

Almost surely, 256528064 is an apocalyptic number.

56528064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56528064 is an abundant number, since it is smaller than the sum of its proper divisors (109659056).

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

56528064 is a wasteful number, since it uses less digits than its factorization.

56528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32734 (or 32718 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56528064 is about 7518.5147469430. The cubic root of 56528064 is about 383.7850359351.

The spelling of 56528064 in words is "fifty-six million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 32713 65426 98139 130852 196278 261704 294417 392556 523408 588834 785112 883251 1046816 1177668 1570224 1766502 2093632 2355336 3140448 3533004 4710672 6280896 7066008 9421344 14132016 18842688 28264032 56528064