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86924961 = 33173141149
BaseRepresentation
bin1010010111001…
…01111010100001
320001120020122000
411023211322201
5134223044321
612343034213
72103564354
oct513457241
9201506560
1086924961
1145081012
122513b969
13150163b6
14b78a29b
157970826
hex52e5ea1

86924961 has 64 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 51148800.

The previous prime is 86924947. The next prime is 86924963. The reversal of 86924961 is 16942968.

It is a happy number.

It is not a de Polignac number, because 86924961 - 213 = 86916769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86924963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583315 + ... + 583463.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 286924961 is an apocalyptic number.

It is an amenable number.

86924961 is a deficient number, since it is larger than the sum of its proper divisors (58227039).

86924961 is a wasteful number, since it uses less digits than its factorization.

86924961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 86924961 is about 9323.3556727178. The cubic root of 86924961 is about 442.9773303593.

The spelling of 86924961 in words is "eighty-six million, nine hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 27 31 41 51 93 123 149 153 279 369 447 459 527 697 837 1107 1271 1341 1581 2091 2533 3813 4023 4619 4743 6109 6273 7599 11439 13857 14229 18327 18819 21607 22797 34317 41571 54981 64821 68391 78523 103853 124713 164943 189379 194463 235569 311559 568137 583389 706707 934677 1704411 2120121 2804031 3219443 5113233 9658329 28974987 86924961