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85158016 = 273717981
BaseRepresentation
bin1010001001101…
…10100010000000
312221020110211121
411010312202000
5133300024031
612241122024
72052555046
oct504664200
9187213747
1085158016
1144084529
1224629314
1314848078
14b44a396
157722011
hex5136880

85158016 has 32 divisors (see below), whose sum is σ = 174245580. Its totient is φ = 41425920.

The previous prime is 85157999. The next prime is 85158037. The reversal of 85158016 is 61085158.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 25806400 = 7704^2 + 5080^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4255 + ... + 13726.

Almost surely, 285158016 is an apocalyptic number.

It is an amenable number.

85158016 is an abundant number, since it is smaller than the sum of its proper divisors (89087564).

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

85158016 is a wasteful number, since it uses less digits than its factorization.

85158016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 85158016 is about 9228.1100990398. The cubic root of 85158016 is about 439.9552571583.

The spelling of 85158016 in words is "eighty-five million, one hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 17981 35962 71924 143848 287696 575392 665297 1150784 1330594 2301568 2661188 5322376 10644752 21289504 42579008 85158016