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85093904 = 2474317669
BaseRepresentation
bin1010001001001…
…10111000010000
312221010012220002
411010212320100
5133241001104
612235505132
72052200120
oct504467020
9187105802
1085093904
1144040345
12245b81a8
1314824b2c
14b430c80
15770d01e
hex5126e10

85093904 has 40 divisors (see below), whose sum is σ = 192815040. Its totient is φ = 35618688.

The previous prime is 85093903. The next prime is 85093907. The reversal of 85093904 is 40939058.

It is a super-2 number, since 2×850939042 = 14481944995922432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85093903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4019 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (4820376).

Almost surely, 285093904 is an apocalyptic number.

It is an amenable number.

85093904 is an abundant number, since it is smaller than the sum of its proper divisors (107721136).

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

85093904 is a wasteful number, since it uses less digits than its factorization.

85093904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17727 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 85093904 is about 9224.6357109644. The cubic root of 85093904 is about 439.8448213113.

The spelling of 85093904 in words is "eighty-five million, ninety-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 17669 35338 70676 123683 141352 247366 282704 494732 759767 989464 1519534 1978928 3039068 5318369 6078136 10636738 12156272 21273476 42546952 85093904