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85032144 = 24321931079
BaseRepresentation
bin1010001000101…
…11110011010000
312221000002011200
411010113303100
5133232012034
612234311200
72051522061
oct504276320
9187002150
1085032144
1143aa89aa
1224588500
13148029a2
14b416568
1576e9a99
hex5117cd0

85032144 has 60 divisors (see below), whose sum is σ = 250504800. Its totient is φ = 26851392.

The previous prime is 85032139. The next prime is 85032169. The reversal of 85032144 is 44123058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12804 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (4175080).

Almost surely, 285032144 is an apocalyptic number.

It is an amenable number.

85032144 is an abundant number, since it is smaller than the sum of its proper divisors (165472656).

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

85032144 is a wasteful number, since it uses less digits than its factorization.

85032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31112 (or 31103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85032144 is about 9221.2875456739. The cubic root of 85032144 is about 439.7383844241.

The spelling of 85032144 in words is "eighty-five million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 31079 62158 93237 124316 186474 248632 279711 372948 497264 559422 590501 745896 1118844 1181002 1491792 1771503 2237688 2362004 3543006 4475376 4724008 5314509 7086012 9448016 10629018 14172024 21258036 28344048 42516072 85032144