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56288560 = 2453122697
BaseRepresentation
bin1101011010111…
…0010100110000
310220220202101111
43112232110300
5103402213220
65330243104
71252305406
oct326562460
9126822344
1056288560
1129856479
1216a26494
13b87a853
147693476
154e1d15a
hex35ae530

56288560 has 40 divisors (see below), whose sum is σ = 135098496. Its totient is φ = 21788160.

The previous prime is 56288549. The next prime is 56288579. The reversal of 56288560 is 6588265.

56288560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8869 + ... + 13828.

Almost surely, 256288560 is an apocalyptic number.

It is an amenable number.

56288560 is an abundant number, since it is smaller than the sum of its proper divisors (78809936).

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

56288560 is a wasteful number, since it uses less digits than its factorization.

56288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22741 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 56288560 is about 7502.5702262625. The cubic root of 56288560 is about 383.2422484701.

The spelling of 56288560 in words is "fifty-six million, two hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 22697 45394 90788 113485 181576 226970 363152 453940 703607 907880 1407214 1815760 2814428 3518035 5628856 7036070 11257712 14072140 28144280 56288560