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56908880 = 2457151673
BaseRepresentation
bin1101100100010…
…1110001010000
310222002021022022
43121011301100
5104032041010
65351431012
71260501050
oct331056120
9128067268
1056908880
112a13a536
1217085468
13ba36cc2
1477b5560
154ee1d55
hex3645c50

56908880 has 80 divisors (see below), whose sum is σ = 152442624. Its totient is φ = 19353600.

The previous prime is 56908879. The next prime is 56908883. The reversal of 56908880 is 8880965.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56908883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84224 + ... + 84896.

Almost surely, 256908880 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 56908880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76221312).

56908880 is an abundant number, since it is smaller than the sum of its proper divisors (95533744).

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

56908880 is a wasteful number, since it uses less digits than its factorization.

56908880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 56908880 is about 7543.7974522120. The cubic root of 56908880 is about 384.6449304072.

The spelling of 56908880 in words is "fifty-six million, nine hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 673 755 1057 1208 1346 1510 2114 2416 2692 3020 3365 4228 4711 5285 5384 6040 6730 8456 9422 10570 10768 12080 13460 16912 18844 21140 23555 26920 37688 42280 47110 53840 75376 84560 94220 101623 188440 203246 376880 406492 508115 711361 812984 1016230 1422722 1625968 2032460 2845444 3556805 4064920 5690888 7113610 8129840 11381776 14227220 28454440 56908880