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56409640 = 2357296947
BaseRepresentation
bin1101011100101…
…1111000101000
310221010220110221
43113023320220
5103420102030
65333015424
71253321410
oct327137050
9127126427
1056409640
1129929441
1216a84574
13b8c09b1
1476c5640
154e43e7a
hex35cbe28

56409640 has 64 divisors (see below), whose sum is σ = 150076800. Its totient is φ = 18670848.

The previous prime is 56409637. The next prime is 56409641. The reversal of 56409640 is 4690465.

It is a junction number, because it is equal to n+sod(n) for n = 56409596 and 56409605.

It is not an unprimeable number, because it can be changed into a prime (56409641) 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, 4647 + ... + 11593.

It is an arithmetic number, because the mean of its divisors is an integer number (2344950).

Almost surely, 256409640 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 56409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75038400).

56409640 is an abundant number, since it is smaller than the sum of its proper divisors (93667160).

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

56409640 is a wasteful number, since it uses less digits than its factorization.

56409640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 56409640 is about 7510.6351262726. The cubic root of 56409640 is about 383.5168438723.

The spelling of 56409640 in words is "fifty-six million, four hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 6947 8120 13894 27788 34735 48629 55576 69470 97258 138940 194516 201463 243145 277880 389032 402926 486290 805852 972580 1007315 1410241 1611704 1945160 2014630 2820482 4029260 5640964 7051205 8058520 11281928 14102410 28204820 56409640