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85458064 = 24231811283
BaseRepresentation
bin1010001011111…
…11110010010000
312221210201102111
411011333302100
5133334124224
612251355104
72055244606
oct505776220
9187721374
1085458064
11442699aa
1224752a94
1314921803
14b4c7876
157780d94
hex517fc90

85458064 has 40 divisors (see below), whose sum is σ = 173863872. Its totient is φ = 40613760.

The previous prime is 85458053. The next prime is 85458073. The reversal of 85458064 is 46085458.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65967 + ... + 67249.

Almost surely, 285458064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85458064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86931936).

85458064 is an abundant number, since it is smaller than the sum of its proper divisors (88405808).

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

85458064 is a wasteful number, since it uses less digits than its factorization.

85458064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 85458064 is about 9244.3530871554. The cubic root of 85458064 is about 440.4713681254.

The spelling of 85458064 in words is "eighty-five million, four hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 181 184 362 368 724 1283 1448 2566 2896 4163 5132 8326 10264 16652 20528 29509 33304 59018 66608 118036 232223 236072 464446 472144 928892 1857784 3715568 5341129 10682258 21364516 42729032 85458064