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56888865 = 33511291321
BaseRepresentation
bin1101100100000…
…0111000100001
310222001020212000
43121000320201
5104030420430
65351154213
71260355515
oct331007041
9128036760
1056888865
112a1264a0
1217075969
13ba2ab67
1477ac145
154edae60
hex3640e21

56888865 has 64 divisors (see below), whose sum is σ = 114220800. Its totient is φ = 26611200.

The previous prime is 56888849. The next prime is 56888879.

56888865 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56888865 - 24 = 56888849 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42405 + ... + 43725.

It is an arithmetic number, because the mean of its divisors is an integer number (1784700).

Almost surely, 256888865 is an apocalyptic number.

56888865 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56888865 is an abundant number, since it is smaller than the sum of its proper divisors (57331935).

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

56888865 is a wasteful number, since it uses less digits than its factorization.

56888865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 56888865 is about 7542.4707490318. The cubic root of 56888865 is about 384.5998315813.

The spelling of 56888865 in words is "fifty-six million, eight hundred eighty-eight thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1321 1485 1595 2871 3915 3963 4785 6605 8613 11889 14355 14531 19815 35667 38309 43065 43593 59445 72655 114927 130779 178335 191545 217965 344781 392337 421399 574635 653895 1034343 1264197 1723905 1961685 2106995 3792591 5171715 6320985 11377773 18962955 56888865