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56800536 = 233131710709
BaseRepresentation
bin1101100010101…
…1010100011000
310221212202200120
43120223110120
5104020104121
65345233240
71256540142
oct330532430
9127782616
1056800536
112a0760a1
1217032820
13b9c98b0
147787c92
154ebebc6
hex362b518

56800536 has 64 divisors (see below), whose sum is σ = 161935200. Its totient is φ = 16447488.

The previous prime is 56800517. The next prime is 56800537. The reversal of 56800536 is 63500865.

It is a junction number, because it is equal to n+sod(n) for n = 56800497 and 56800506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56800537) 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, 51 + ... + 10658.

Almost surely, 256800536 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 56800536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80967600).

56800536 is an abundant number, since it is smaller than the sum of its proper divisors (105134664).

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

56800536 is a wasteful number, since it uses less digits than its factorization.

56800536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56800536 is about 7536.6130323906. The cubic root of 56800536 is about 384.4006776950.

The spelling of 56800536 in words is "fifty-six million, eight hundred thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 10709 21418 32127 42836 64254 85672 128508 139217 182053 257016 278434 364106 417651 546159 556868 728212 835302 1092318 1113736 1456424 1670604 2184636 2366689 3341208 4369272 4733378 7100067 9466756 14200134 18933512 28400268 56800536