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86257540 = 22526916033
BaseRepresentation
bin1010010010000…
…10111110000100
320000022100002201
411021002332010
5134040220130
612320444244
72065114465
oct511027604
9200270081
1086257540
1144765626
1224a79684
1314b41685
14b654d6c
15788cbca
hex5242f84

86257540 has 24 divisors (see below), whose sum is σ = 181825560. Its totient is φ = 34372608.

The previous prime is 86257537. The next prime is 86257547. The reversal of 86257540 is 4575268.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7828804 + 78428736 = 2798^2 + 8856^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86257540.

It is not an unprimeable number, because it can be changed into a prime (86257547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2637 + ... + 13396.

It is an arithmetic number, because the mean of its divisors is an integer number (7576065).

Almost surely, 286257540 is an apocalyptic number.

It is an amenable number.

86257540 is an abundant number, since it is smaller than the sum of its proper divisors (95568020).

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

86257540 is a wasteful number, since it uses less digits than its factorization.

86257540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 86257540 is about 9287.4937415860. The cubic root of 86257540 is about 441.8406706497.

The spelling of 86257540 in words is "eighty-six million, two hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2690 5380 16033 32066 64132 80165 160330 320660 4312877 8625754 17251508 21564385 43128770 86257540