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82976660 = 225131718773
BaseRepresentation
bin1001111001000…
…01111110010100
312210010122120122
410330201332110
5132220223120
612122251112
72025201314
oct474417624
9183118518
1082976660
1142924658
1223956a98
1314263220
14b03d444
157440a25
hex4f21f94

82976660 has 48 divisors (see below), whose sum is σ = 198704016. Its totient is φ = 28833792.

The previous prime is 82976657. The next prime is 82976689. The reversal of 82976660 is 6667928.

It can be written as a sum of positive squares in 8 ways, for example, as 5466244 + 77510416 = 2338^2 + 8804^2 .

It is a super-2 number, since 2×829766602 = 13770252209511200, which contains 22 as substring.

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, 4967 + ... + 13806.

It is an arithmetic number, because the mean of its divisors is an integer number (4139667).

Almost surely, 282976660 is an apocalyptic number.

It is an amenable number.

82976660 is an abundant number, since it is smaller than the sum of its proper divisors (115727356).

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

82976660 is a wasteful number, since it uses less digits than its factorization.

82976660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18812 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 82976660 is about 9109.1525401653. The cubic root of 82976660 is about 436.1661754691.

The spelling of 82976660 in words is "eighty-two million, nine hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 18773 37546 75092 93865 187730 244049 319141 375460 488098 638282 976196 1220245 1276564 1595705 2440490 3191410 4148833 4880980 6382820 8297666 16595332 20744165 41488330 82976660