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85702536 = 2334132257
BaseRepresentation
bin1010001101110…
…11011110001000
312222021010210000
411012323132020
5133414440121
612300523000
72060313423
oct506733610
9188233700
1085702536
1144416647
1224850460
13149a8b7a
14b54c9ba
1577cd526
hex51bb788

85702536 has 40 divisors (see below), whose sum is σ = 240048270. Its totient is φ = 28567296.

The previous prime is 85702501. The next prime is 85702541. The reversal of 85702536 is 63520758.

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 32558436 = 7290^2 + 5706^2 .

It is a super-4 number, since 4×857025364 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85702536.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65481 + ... + 66776.

Almost surely, 285702536 is an apocalyptic number.

It is an amenable number.

85702536 is an abundant number, since it is smaller than the sum of its proper divisors (154345734).

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

85702536 is a wasteful number, since it uses less digits than its factorization.

85702536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132275 (or 132262 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85702536 is about 9257.5664188814. The cubic root of 85702536 is about 440.8909906881.

It can be divided in two parts, 8 and 5702536, that added together give a square (5702544 = 23882).

The spelling of 85702536 in words is "eighty-five million, seven hundred two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 132257 264514 396771 529028 793542 1058056 1190313 1587084 2380626 3174168 3570939 4761252 7141878 9522504 10712817 14283756 21425634 28567512 42851268 85702536