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56363776 = 28771443
BaseRepresentation
bin1101011100000…
…0101100000000
310221001120120021
43113000230000
5103412120101
65332023224
71253040610
oct327005400
9127046507
1056363776
11298a7a37
1216a61b14
13b8a5b61
1476b2a40
154e355a1
hex35c0b00

56363776 has 72 divisors (see below), whose sum is σ = 130685184. Its totient is φ = 23761920.

The previous prime is 56363773. The next prime is 56363779. The reversal of 56363776 is 67736365.

It is an interprime number because it is at equal distance from previous prime (56363773) and next prime (56363779).

It is not an unprimeable number, because it can be changed into a prime (56363773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127011 + ... + 127453.

It is an arithmetic number, because the mean of its divisors is an integer number (1815072).

Almost surely, 256363776 is an apocalyptic number.

56363776 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 56363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65342592).

56363776 is an abundant number, since it is smaller than the sum of its proper divisors (74321408).

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

56363776 is an equidigital number, since it uses as much as digits as its factorization.

56363776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its digits is 476280, while the sum is 43.

The square root of 56363776 is about 7507.5812349917. The cubic root of 56363776 is about 383.4128759111.

The spelling of 56363776 in words is "fifty-six million, three hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 443 448 497 568 886 896 994 1136 1772 1792 1988 2272 3101 3544 3976 4544 6202 7088 7952 9088 12404 14176 15904 18176 24808 28352 31453 31808 49616 56704 62906 63616 99232 113408 125812 127232 198464 220171 251624 396928 440342 503248 793856 880684 1006496 1761368 2012992 3522736 4025984 7045472 8051968 14090944 28181888 56363776