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56376630 = 2325532223
BaseRepresentation
bin1101011100001…
…1110100110110
310221002020012100
43113003310312
5103413023010
65332202530
71253123232
oct327036466
9127066170
1056376630
1129906662
1216a69446
13b8ab96b
1476b75c2
154e392c0
hex35c3d36

56376630 has 72 divisors (see below), whose sum is σ = 150067008. Its totient is φ = 14683968.

The previous prime is 56376589. The next prime is 56376637. The reversal of 56376630 is 3667365.

56376630 is a `hidden beast` number, since 563 + 7 + 66 + 30 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56376637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252699 + ... + 252921.

It is an arithmetic number, because the mean of its divisors is an integer number (2084264).

Almost surely, 256376630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56376630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75033504).

56376630 is an abundant number, since it is smaller than the sum of its proper divisors (93690378).

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

56376630 is a wasteful number, since it uses less digits than its factorization.

56376630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 56376630 is about 7508.4372541828. The cubic root of 56376630 is about 383.4420200108.

The spelling of 56376630 in words is "fifty-six million, three hundred seventy-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 223 265 318 446 477 530 669 795 954 1115 1338 1590 2007 2230 2385 2809 3345 4014 4770 5618 6690 8427 10035 11819 14045 16854 20070 23638 25281 28090 35457 42135 50562 59095 70914 84270 106371 118190 126405 177285 212742 252810 354570 531855 626407 1063710 1252814 1879221 3132035 3758442 5637663 6264070 9396105 11275326 18792210 28188315 56376630