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56463960 = 2335767219
BaseRepresentation
bin1101011101100…
…1001001011000
310221020122222210
43113121021120
5103423321320
65334115120
71253635650
oct327311130
9127218883
1056463960
1129966233
1216aabaa0
13b90c637
1476db360
154e550e0
hex35d9258

56463960 has 64 divisors (see below), whose sum is σ = 193593600. Its totient is φ = 12905856.

The previous prime is 56463941. The next prime is 56463971. The reversal of 56463960 is 6936465.

It is a happy number.

56463960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32770 + ... + 34449.

It is an arithmetic number, because the mean of its divisors is an integer number (3024900).

Almost surely, 256463960 is an apocalyptic number.

It is an amenable number.

56463960 is an abundant number, since it is smaller than the sum of its proper divisors (137129640).

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

56463960 is a wasteful number, since it uses less digits than its factorization.

56463960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67240 (or 67236 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 56463960 is about 7514.2504616229. The cubic root of 56463960 is about 383.6399076581.

The spelling of 56463960 in words is "fifty-six million, four hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 67219 134438 201657 268876 336095 403314 470533 537752 672190 806628 941066 1008285 1344380 1411599 1613256 1882132 2016570 2352665 2688760 2823198 3764264 4033140 4705330 5646396 7057995 8066280 9410660 11292792 14115990 18821320 28231980 56463960