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85576008 = 23372322147
BaseRepresentation
bin1010001100111…
…00100101001000
312222000201012210
411012130211020
5133401413013
612254105120
72056245510
oct506344510
9188021183
1085576008
114433a581
12247ab1a0
13149633bb
14b518840
1577a5cc3
hex519c948

85576008 has 64 divisors (see below), whose sum is σ = 255144960. Its totient is φ = 23386176.

The previous prime is 85575991. The next prime is 85576033. The reversal of 85576008 is 80067558.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7210 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (3986640).

Almost surely, 285576008 is an apocalyptic number.

It is an amenable number.

85576008 is an abundant number, since it is smaller than the sum of its proper divisors (169568952).

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

85576008 is a wasteful number, since it uses less digits than its factorization.

85576008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22186 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 85576008 is about 9250.7301333462. The cubic root of 85576008 is about 440.6739122001.

The spelling of 85576008 in words is "eighty-five million, five hundred seventy-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 22147 44294 66441 88588 132882 155029 177176 265764 310058 465087 509381 531528 620116 930174 1018762 1240232 1528143 1860348 2037524 3056286 3565667 3720696 4075048 6112572 7131334 10697001 12225144 14262668 21394002 28525336 42788004 85576008