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85593906 = 23229163973
BaseRepresentation
bin1010001101000…
…00111100110010
312222001121202200
411012200330302
5133403001111
612254324030
72056351626
oct506407462
9188047680
1085593906
1144351a72
12247b9616
131496b5a8
14b521186
1577ab256
hex51a0f32

85593906 has 24 divisors (see below), whose sum is σ = 191849580. Its totient is φ = 27547296.

The previous prime is 85593899. The next prime is 85593953. The reversal of 85593906 is 60939558.

85593906 is a `hidden beast` number, since 8 + 559 + 3 + 90 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82901025 + 2692881 = 9105^2 + 1641^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81465 + ... + 82508.

Almost surely, 285593906 is an apocalyptic number.

85593906 is an abundant number, since it is smaller than the sum of its proper divisors (106255674).

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

85593906 is a wasteful number, since it uses less digits than its factorization.

85593906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164010 (or 164007 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 85593906 is about 9251.6974658708. The cubic root of 85593906 is about 440.7046319936.

The spelling of 85593906 in words is "eighty-five million, five hundred ninety-three thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 163973 327946 491919 983838 1475757 2951514 4755217 9510434 14265651 28531302 42796953 85593906