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85076406 = 234525163
BaseRepresentation
bin1010001001000…
…10100110110110
312221002022220000
411010202212312
5133234421111
612235252130
72052065112
oct504424666
9187068800
1085076406
1144029188
12245aa046
1314819b8c
14b428742
157707c56
hex51229b6

85076406 has 20 divisors (see below), whose sum is σ = 190634532. Its totient is φ = 28358748.

The previous prime is 85076377. The next prime is 85076413. The reversal of 85076406 is 60467058.

It is a happy number.

85076406 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 640 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 262420 + ... + 262743.

Almost surely, 285076406 is an apocalyptic number.

85076406 is an abundant number, since it is smaller than the sum of its proper divisors (105558126).

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

85076406 is a wasteful number, since it uses less digits than its factorization.

85076406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525177 (or 525168 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85076406 is about 9223.6872236649. The cubic root of 85076406 is about 439.8146705722.

The spelling of 85076406 in words is "eighty-five million, seventy-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 525163 1050326 1575489 3150978 4726467 9452934 14179401 28358802 42538203 85076406