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85537512 = 23331073701
BaseRepresentation
bin1010001100100…
…11001011101000
312221221202102000
411012103023220
5133344200022
612253211000
72056025334
oct506231350
9187852360
1085537512
1144313665
1224790a60
131494ba18
14b5087c4
1577996ac
hex51932e8

85537512 has 64 divisors (see below), whose sum is σ = 239889600. Its totient is φ = 28238400.

The previous prime is 85537511. The next prime is 85537519. The reversal of 85537512 is 21573558.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85537511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21262 + ... + 24962.

It is an arithmetic number, because the mean of its divisors is an integer number (3748275).

Almost surely, 285537512 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 85537512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119944800).

85537512 is an abundant number, since it is smaller than the sum of its proper divisors (154352088).

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

85537512 is a wasteful number, since it uses less digits than its factorization.

85537512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3813 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 85537512 is about 9248.6491986668. The cubic root of 85537512 is about 440.6078238664.

The spelling of 85537512 in words is "eighty-five million, five hundred thirty-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3701 3852 5778 7402 7704 11103 11556 14804 22206 23112 29608 33309 44412 66618 88824 99927 133236 199854 266472 396007 399708 792014 799416 1188021 1584028 2376042 3168056 3564063 4752084 7128126 9504168 10692189 14256252 21384378 28512504 42768756 85537512