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232972480 = 2651356003
BaseRepresentation
bin11011110001011…
…10000011000000
3121020101020011101
431320232003000
5434120104410
635041224144
75526143026
oct1570560300
9536336141
10232972480
1110a563744
1266032054
1339360250
1422d26716
15156bdd3a
hexde2e0c0

232972480 has 56 divisors (see below), whose sum is σ = 597450672. Its totient is φ = 86019072.

The previous prime is 232972393. The next prime is 232972499. The reversal of 232972480 is 84279232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23842 + ... + 32161.

It is an arithmetic number, because the mean of its divisors is an integer number (10668762).

Almost surely, 2232972480 is an apocalyptic number.

232972480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232972480 is an abundant number, since it is smaller than the sum of its proper divisors (364478192).

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

232972480 is a wasteful number, since it uses less digits than its factorization.

232972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56033 (or 56023 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 232972480 is about 15263.4360482822. The cubic root of 232972480 is about 615.3207219561.

The spelling of 232972480 in words is "two hundred thirty-two million, nine hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 56003 112006 224012 280015 448024 560030 728039 896048 1120060 1456078 1792096 2240120 2912156 3584192 3640195 4480240 5824312 7280390 8960480 11648624 14560780 17920960 23297248 29121560 46594496 58243120 116486240 232972480