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56027776 = 27728933
BaseRepresentation
bin1101010110111…
…0101010000000
310220102111122211
43111232222000
5103320342101
65320511504
71250141200
oct325565200
9126374584
1056027776
1129698552
121691b594
13b7b8c3c
147626400
154dbac51
hex356ea80

56027776 has 48 divisors (see below), whose sum is σ = 129855690. Its totient is φ = 24009216.

The previous prime is 56027761. The next prime is 56027791. The reversal of 56027776 is 67772065.

It is an interprime number because it is at equal distance from previous prime (56027761) and next prime (56027791).

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 3841600 = 7224^2 + 1960^2 .

It is a super-2 number, since 2×560277762 = 6278223367012352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1806 + ... + 10738.

Almost surely, 256027776 is an apocalyptic number.

56027776 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 56027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64927845).

56027776 is an abundant number, since it is smaller than the sum of its proper divisors (73827914).

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

56027776 is an equidigital number, since it uses as much as digits as its factorization.

56027776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 56027776 is about 7485.1704055419. The cubic root of 56027776 is about 382.6494803571.

The spelling of 56027776 in words is "fifty-six million, twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 8933 17866 35732 62531 71464 125062 142928 250124 285856 437717 500248 571712 875434 1000496 1143424 1750868 2000992 3501736 4001984 7003472 8003968 14006944 28013888 56027776