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85725504 = 2632148829
BaseRepresentation
bin1010001110000…
…01000101000000
312222022022021200
411013001011000
5133421204004
612301221200
72060440404
oct507010500
9188268250
1085725504
1144431927
1224861800
13149b6467
14b557104
1577d5239
hex51c1140

85725504 has 42 divisors (see below), whose sum is σ = 245718330. Its totient is φ = 28574976.

The previous prime is 85725503. The next prime is 85725533. The reversal of 85725504 is 40552758.

It is a happy number.

85725504 is a `hidden beast` number, since 85 + 72 + 5 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51151104 + 34574400 = 7152^2 + 5880^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85725503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73839 + ... + 74990.

Almost surely, 285725504 is an apocalyptic number.

It is an amenable number.

85725504 is an abundant number, since it is smaller than the sum of its proper divisors (159992826).

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

85725504 is a wasteful number, since it uses less digits than its factorization.

85725504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148847 (or 148834 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 85725504 is about 9258.8068345765. The cubic root of 85725504 is about 440.9303729525.

The spelling of 85725504 in words is "eighty-five million, seven hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 148829 297658 446487 595316 892974 1190632 1339461 1785948 2381264 2678922 3571896 4762528 5357844 7143792 9525056 10715688 14287584 21431376 28575168 42862752 85725504