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85295136 = 2533128661
BaseRepresentation
bin1010001010110…
…00000000100000
312221111102221010
411011120000200
5133313421021
612244100520
72053665603
oct505300040
9187442833
1085295136
1144168553
1224694740
13148955c4
14b48433a
15774c976
hex5158020

85295136 has 48 divisors (see below), whose sum is σ = 231130368. Its totient is φ = 27513600.

The previous prime is 85295057. The next prime is 85295143. The reversal of 85295136 is 63159258.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 85295094 and 85295103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11355 + ... + 17306.

It is an arithmetic number, because the mean of its divisors is an integer number (4815216).

Almost surely, 285295136 is an apocalyptic number.

It is an amenable number.

85295136 is an abundant number, since it is smaller than the sum of its proper divisors (145835232).

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

85295136 is a wasteful number, since it uses less digits than its factorization.

85295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28705 (or 28697 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 85295136 is about 9235.5365843030. The cubic root of 85295136 is about 440.1912667071.

The spelling of 85295136 in words is "eighty-five million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 28661 57322 85983 114644 171966 229288 343932 458576 687864 888491 917152 1375728 1776982 2665473 2751456 3553964 5330946 7107928 10661892 14215856 21323784 28431712 42647568 85295136