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56360688 = 24319292131
BaseRepresentation
bin1101011011111…
…1111011110000
310221001102022220
43112333323300
5103412020223
65332001040
71253025606
oct326777360
9127042286
1056360688
11298a568a
1216a60180
13b8a4627
1476b1876
154e346e3
hex35bfef0

56360688 has 80 divisors (see below), whose sum is σ = 158620800. Its totient is φ = 17176320.

The previous prime is 56360687. The next prime is 56360693. The reversal of 56360688 is 88606365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56360687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25383 + ... + 27513.

It is an arithmetic number, because the mean of its divisors is an integer number (1982760).

Almost surely, 256360688 is an apocalyptic number.

56360688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56360688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310400).

56360688 is an abundant number, since it is smaller than the sum of its proper divisors (102260112).

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

56360688 is a wasteful number, since it uses less digits than its factorization.

56360688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 56360688 is about 7507.3755733945. The cubic root of 56360688 is about 383.4058737745.

The spelling of 56360688 in words is "fifty-six million, three hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 912 1102 1392 1653 2131 2204 3306 4262 4408 6393 6612 8524 8816 12786 13224 17048 25572 26448 34096 40489 51144 61799 80978 102288 121467 123598 161956 185397 242934 247196 323912 370794 485868 494392 647824 741588 971736 988784 1174181 1483176 1943472 2348362 2966352 3522543 4696724 7045086 9393448 14090172 18786896 28180344 56360688