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86536957 = 1322917657
BaseRepresentation
bin1010010100001…
…11001011111101
320000211112101111
411022013023331
5134123140312
612330442021
72100360223
oct512071375
9200745344
1086536957
1144936551
1224b93311
1314c0b900
14b6c8b13
1578e58a7
hex52872fd

86536957 has 12 divisors (see below), whose sum is σ = 96942420. Its totient is φ = 77121408.

The previous prime is 86536951. The next prime is 86536981. The reversal of 86536957 is 75963568.

It can be written as a sum of positive squares in 6 ways, for example, as 27154521 + 59382436 = 5211^2 + 7706^2 .

It is not a de Polignac number, because 86536957 - 27 = 86536829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86536957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86536951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3928 + ... + 13729.

It is an arithmetic number, because the mean of its divisors is an integer number (8078535).

Almost surely, 286536957 is an apocalyptic number.

It is an amenable number.

86536957 is a deficient number, since it is larger than the sum of its proper divisors (10405463).

86536957 is a wasteful number, since it uses less digits than its factorization.

86536957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17712 (or 17699 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The square root of 86536957 is about 9302.5242273267. The cubic root of 86536957 is about 442.3172462899.

The spelling of 86536957 in words is "eighty-six million, five hundred thirty-six thousand, nine hundred fifty-seven".

Divisors: 1 13 29 169 377 4901 17657 229541 512053 2984033 6656689 86536957