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85756068 = 22322399967
BaseRepresentation
bin1010001110010…
…00100010100100
312222100212012200
411013020202210
5133423143233
612302014500
72060625456
oct507104244
9188325180
1085756068
1144452892
1224877430
13149c7348
14b5642d6
1577de313
hex51c88a4

85756068 has 36 divisors (see below), whose sum is σ = 217701120. Its totient is φ = 28462896.

The previous prime is 85756043. The next prime is 85756081. The reversal of 85756068 is 86065758.

85756068 is a `hidden beast` number, since 85 + 7 + 560 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 3621 + ... + 13587.

Almost surely, 285756068 is an apocalyptic number.

It is an amenable number.

85756068 is an abundant number, since it is smaller than the sum of its proper divisors (131945052).

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

85756068 is a wasteful number, since it uses less digits than its factorization.

85756068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85756068 is about 9260.4572241332. The cubic root of 85756068 is about 440.9827688518.

The spelling of 85756068 in words is "eighty-five million, seven hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 4302 8604 9967 19934 29901 39868 59802 89703 119604 179406 358812 2382113 4764226 7146339 9528452 14292678 21439017 28585356 42878034 85756068