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82696896 = 263347857
BaseRepresentation
bin1001110110111…
…01101011000000
312202121102211000
410323131223000
5132132300041
612112252000
72022624552
oct473355300
9182542730
1082696896
1142753447
1223841000
1314195a99
14ada94d2
1573d7bb6
hex4eddac0

82696896 has 56 divisors (see below), whose sum is σ = 243118640. Its totient is φ = 27565056.

The previous prime is 82696853. The next prime is 82696921. The reversal of 82696896 is 69869628.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 22201 + ... + 25656.

Almost surely, 282696896 is an apocalyptic number.

It is an amenable number.

82696896 is an abundant number, since it is smaller than the sum of its proper divisors (160421744).

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

82696896 is a wasteful number, since it uses less digits than its factorization.

82696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47878 (or 47862 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 82696896 is about 9093.7833710728. The cubic root of 82696896 is about 435.6754310856.

The spelling of 82696896 in words is "eighty-two million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 47857 95714 143571 191428 287142 382856 430713 574284 765712 861426 1148568 1292139 1531424 1722852 2297136 2584278 3062848 3445704 4594272 5168556 6891408 9188544 10337112 13782816 20674224 27565632 41348448 82696896