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56629380 = 22351759941
BaseRepresentation
bin1101100000000…
…1100010000100
310221120001220110
43120001202010
5103444120010
65341433020
71255225143
oct330014204
9127501813
1056629380
1129a69545
1216b6b770
13b969a12
14774175a
154e89120
hex3601884

56629380 has 96 divisors (see below), whose sum is σ = 170916480. Its totient is φ = 13957120.

The previous prime is 56629337. The next prime is 56629393. The reversal of 56629380 is 8392665.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59710 + ... + 60650.

It is an arithmetic number, because the mean of its divisors is an integer number (1780380).

Almost surely, 256629380 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 56629380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85458240).

56629380 is an abundant number, since it is smaller than the sum of its proper divisors (114287100).

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

56629380 is a wasteful number, since it uses less digits than its factorization.

56629380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 56629380 is about 7525.2494975250. The cubic root of 56629380 is about 384.0141867589.

The spelling of 56629380 in words is "fifty-six million, six hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 295 340 354 510 590 708 885 941 1003 1020 1180 1770 1882 2006 2823 3009 3540 3764 4012 4705 5015 5646 6018 9410 10030 11292 12036 14115 15045 15997 18820 20060 28230 30090 31994 47991 55519 56460 60180 63988 79985 95982 111038 159970 166557 191964 222076 239955 277595 319940 333114 479910 555190 666228 832785 943823 959820 1110380 1665570 1887646 2831469 3331140 3775292 4719115 5662938 9438230 11325876 14157345 18876460 28314690 56629380