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56494560 = 2535373181
BaseRepresentation
bin1101011110000…
…0100111100000
310221022012222010
43113200213200
5103430311220
65334512520
71254124113
oct327404740
9127265863
1056494560
1129987221
1216b05740
13b920545
14770857a
154e5e1e0
hex35e09e0

56494560 has 96 divisors (see below), whose sum is σ = 182824992. Its totient is φ = 14653440.

The previous prime is 56494549. The next prime is 56494577. The reversal of 56494560 is 6549465.

It is a tau number, because it is divible by the number of its divisors (96).

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, 16170 + ... + 19350.

It is an arithmetic number, because the mean of its divisors is an integer number (1904427).

Almost surely, 256494560 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 56494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91412496).

56494560 is an abundant number, since it is smaller than the sum of its proper divisors (126330432).

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

56494560 is a wasteful number, since it uses less digits than its factorization.

56494560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 56494560 is about 7516.2863170584. The cubic root of 56494560 is about 383.7091982353.

The spelling of 56494560 in words is "fifty-six million, four hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3181 3552 4440 5920 6362 8880 9543 12724 15905 17760 19086 25448 31810 38172 47715 50896 63620 76344 95430 101792 117697 127240 152688 190860 235394 254480 305376 353091 381720 470788 508960 588485 706182 763440 941576 1176970 1412364 1526880 1765455 1883152 2353940 2824728 3530910 3766304 4707880 5649456 7061820 9415760 11298912 14123640 18831520 28247280 56494560