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85685908 = 22721123613
BaseRepresentation
bin1010001101101…
…11011010010100
312222020021222011
411012313122110
5133413422113
612300314004
72060214100
oct506673224
9188207864
1085685908
1144405100
1224842904
13149a1429
14b546900
1577c863d
hex51b7694

85685908 has 54 divisors (see below), whose sum is σ = 191784138. Its totient is φ = 33374880.

The previous prime is 85685893. The next prime is 85685939. The reversal of 85685908 is 80958658.

It can be written as a sum of positive squares in only one way, i.e., 43850884 + 41835024 = 6622^2 + 6468^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21910 + ... + 25522.

Almost surely, 285685908 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 85685908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95892069).

85685908 is an abundant number, since it is smaller than the sum of its proper divisors (106098230).

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

85685908 is a wasteful number, since it uses less digits than its factorization.

85685908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The square root of 85685908 is about 9256.6682991236. The cubic root of 85685908 is about 440.8624749642.

The spelling of 85685908 in words is "eighty-five million, six hundred eighty-five thousand, nine hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 3613 5929 7226 11858 14452 23716 25291 39743 50582 79486 101164 158972 177037 278201 354074 437173 556402 708148 874346 1112804 1748692 1947407 3060211 3894814 6120422 7789628 12240844 21421477 42842954 85685908