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85236504 = 23317212289
BaseRepresentation
bin1010001010010…
…01101100011000
312221101110111120
411011021230120
5133310032004
612242525240
72053332633
oct505115430
9187343446
1085236504
11441284a1
1224666820
1314874a02
14b46ac1a
15773a3d9
hex5149b18

85236504 has 48 divisors (see below), whose sum is σ = 226381800. Its totient is φ = 26738688.

The previous prime is 85236467. The next prime is 85236553. The reversal of 85236504 is 40563258.

It is a super-2 number, since 2×852365042 = 14530523228284032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 792 + ... + 13080.

Almost surely, 285236504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85236504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113190900).

85236504 is an abundant number, since it is smaller than the sum of its proper divisors (141145296).

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

85236504 is a wasteful number, since it uses less digits than its factorization.

85236504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 85236504 is about 9232.3617780068. The cubic root of 85236504 is about 440.0903808825.

The spelling of 85236504 in words is "eighty-five million, two hundred thirty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 12289 24578 36867 49156 73734 98312 147468 208913 294936 417826 626739 835652 1253478 1671304 2506956 3551521 5013912 7103042 10654563 14206084 21309126 28412168 42618252 85236504