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56155632 = 24313312903
BaseRepresentation
bin1101011000110…
…1110111110000
310220200000001020
43112031313300
5103333440012
65323335440
71251213021
oct326156760
9126600036
1056155632
1129775615
1216981580
13b8321b0
14765ac48
154de3a8c
hex358ddf0

56155632 has 80 divisors (see below), whose sum is σ = 161323008. Its totient is φ = 16715520.

The previous prime is 56155591. The next prime is 56155667. The reversal of 56155632 is 23655165.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56155593 and 56155602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17893 + ... + 20795.

Almost surely, 256155632 is an apocalyptic number.

56155632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56155632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80661504).

56155632 is an abundant number, since it is smaller than the sum of its proper divisors (105167376).

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

56155632 is a wasteful number, since it uses less digits than its factorization.

56155632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2952 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 56155632 is about 7493.7061591712. The cubic root of 56155632 is about 382.9403293342.

The spelling of 56155632 in words is "fifty-six million, one hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 2903 3224 4836 5806 6448 8709 9672 11612 17418 19344 23224 34836 37739 46448 69672 75478 89993 113217 139344 150956 179986 226434 269979 301912 359972 452868 539958 603824 719944 905736 1079916 1169909 1439888 1811472 2159832 2339818 3509727 4319664 4679636 7019454 9359272 14038908 18718544 28077816 56155632