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56909776 = 2472116599
BaseRepresentation
bin1101100100010…
…1111111010000
310222002022112111
43121011333100
5104032103101
65351435104
71260503500
oct331057720
9128068474
1056909776
112a140180
1217085a94
13ba37531
1477b5a00
154ee2251
hex3645fd0

56909776 has 60 divisors (see below), whose sum is σ = 139946400. Its totient is φ = 22169280.

The previous prime is 56909771. The next prime is 56909777. The reversal of 56909776 is 67790965.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56909771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5325 + ... + 11923.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 256909776 is an apocalyptic number.

56909776 is a gapful number since it is divisible by the number (56) 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 56909776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69973200).

56909776 is an abundant number, since it is smaller than the sum of its proper divisors (83036624).

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

56909776 is a wasteful number, since it uses less digits than its factorization.

56909776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The square root of 56909776 is about 7543.8568385144. The cubic root of 56909776 is about 384.6469490731.

The spelling of 56909776 in words is "fifty-six million, nine hundred nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 6599 8624 13198 26396 46193 52792 72589 92386 105584 145178 184772 290356 323351 369544 508123 580712 646702 739088 1016246 1161424 1293404 2032492 2586808 3556861 4064984 5173616 7113722 8129968 14227444 28454888 56909776