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56651920 = 24513194761
BaseRepresentation
bin1101100000011…
…1000010010000
310221121012211021
43120013002100
5104000330140
65342125224
71255350643
oct330070220
9127535737
1056651920
1129a84476
1216b80814
13b977060
147749a5a
154e90b4a
hex3607090

56651920 has 160 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 19077120.

The previous prime is 56651893. The next prime is 56651929. The reversal of 56651920 is 2915665.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56651929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928690 + ... + 928750.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 256651920 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 56651920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

56651920 is an abundant number, since it is smaller than the sum of its proper divisors (98338160).

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

56651920 is a wasteful number, since it uses less digits than its factorization.

56651920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 56651920 is about 7526.7469732946. The cubic root of 56651920 is about 384.0651292886.

The spelling of 56651920 in words is "fifty-six million, six hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 47 52 61 65 76 80 94 95 104 122 130 152 188 190 208 235 244 247 260 304 305 376 380 470 488 494 520 610 611 752 760 793 893 940 976 988 1040 1159 1220 1222 1235 1520 1586 1786 1880 1976 2318 2440 2444 2470 2867 3055 3172 3572 3760 3952 3965 4465 4636 4880 4888 4940 5734 5795 6110 6344 7144 7930 8930 9272 9776 9880 11468 11590 11609 12220 12688 14288 14335 15067 15860 17860 18544 19760 22936 23180 23218 24440 28670 30134 31720 35720 37271 45872 46360 46436 48880 54473 57340 58045 60268 63440 71440 74542 75335 92720 92872 108946 114680 116090 120536 149084 150670 185744 186355 217892 229360 232180 241072 272365 298168 301340 372710 435784 464360 544730 596336 602680 708149 745420 871568 928720 1089460 1205360 1416298 1490840 2178920 2832596 2981680 3540745 4357840 5665192 7081490 11330384 14162980 28325960 56651920