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85402912 = 2572913147
BaseRepresentation
bin1010001011100…
…10010100100000
312221200220202211
411011302110200
5133330343122
612250251504
72054625040
oct505622440
9187626684
1085402912
1144231521
1224726b94
131490268a
14b4b1720
15776e877
hex5172520

85402912 has 48 divisors (see below), whose sum is σ = 198797760. Its totient is φ = 35336448.

The previous prime is 85402907. The next prime is 85402937. The reversal of 85402912 is 21920458.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 13069.

It is an arithmetic number, because the mean of its divisors is an integer number (4141620).

Almost surely, 285402912 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 85402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99398880).

85402912 is an abundant number, since it is smaller than the sum of its proper divisors (113394848).

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

85402912 is a wasteful number, since it uses less digits than its factorization.

85402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13193 (or 13185 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 85402912 is about 9241.3695954658. The cubic root of 85402912 is about 440.3765921866.

The spelling of 85402912 in words is "eighty-five million, four hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 13147 26294 52588 92029 105176 184058 210352 368116 381263 420704 736232 762526 1472464 1525052 2668841 2944928 3050104 5337682 6100208 10675364 12200416 21350728 42701456 85402912