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85903712 = 2519236143
BaseRepresentation
bin1010001111011…
…00100101100000
312222122100201222
411013230211200
5133442404322
612305114212
72062112066
oct507544540
9188570658
1085903712
1144543804
1224928968
1314a495cb
14b5a2036
15781ce42
hex51ec960

85903712 has 48 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 38915712.

The previous prime is 85903691. The next prime is 85903717. The reversal of 85903712 is 21730958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85903717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10913 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 285903712 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 85903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

85903712 is an abundant number, since it is smaller than the sum of its proper divisors (99890848).

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

85903712 is a wasteful number, since it uses less digits than its factorization.

85903712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 85903712 is about 9268.4255405112. The cubic root of 85903712 is about 441.2356999541.

The spelling of 85903712 in words is "eighty-five million, nine hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6143 6992 12286 13984 24572 49144 98288 116717 141289 196576 233434 282578 466868 565156 933736 1130312 1867472 2260624 2684491 3734944 4521248 5368982 10737964 21475928 42951856 85903712