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56808976 = 247598597
BaseRepresentation
bin1101100010110…
…1011000010000
310221220012021011
43120231120100
5104020341401
65345340304
71256603560
oct330553020
9127805234
1056808976
112a081474
1217037694
13ba006a3
14778ada0
154ec2451
hex362d610

56808976 has 40 divisors (see below), whose sum is σ = 127938240. Its totient is φ = 23931264.

The previous prime is 56808959. The next prime is 56809009. The reversal of 56808976 is 67980865.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2310 + ... + 10906.

It is an arithmetic number, because the mean of its divisors is an integer number (3198456).

It is a vampire number, since it can be written as 66088597 (with its own digits).

Almost surely, 256808976 is an apocalyptic number.

56808976 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 56808976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63969120).

56808976 is an abundant number, since it is smaller than the sum of its proper divisors (71129264).

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

56808976 is a wasteful number, since it uses less digits than its factorization.

56808976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8665 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 56808976 is about 7537.1729448116. The cubic root of 56808976 is about 384.4197161365.

The spelling of 56808976 in words is "fifty-six million, eight hundred eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 8597 17194 34388 60179 68776 120358 137552 240716 481432 507223 962864 1014446 2028892 3550561 4057784 7101122 8115568 14202244 28404488 56808976