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85639424 = 281325733
BaseRepresentation
bin1010001101011…
…00000100000000
312222010221012112
411012230010000
5133410430144
612255314452
72056631423
oct506540400
9188127175
1085639424
1144383192
122481ba28
1314986220
14b5339ba
1577b999e
hex51ac100

85639424 has 36 divisors (see below), whose sum is σ = 184101036. Its totient is φ = 39524352.

The previous prime is 85639409. The next prime is 85639427. The reversal of 85639424 is 42493658.

It can be written as a sum of positive squares in 2 ways, for example, as 8761600 + 76877824 = 2960^2 + 8768^2 .

It is a super-2 number, since 2×856394242 = 14668221886103552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85639427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9539 + ... + 16194.

Almost surely, 285639424 is an apocalyptic number.

It is an amenable number.

85639424 is an abundant number, since it is smaller than the sum of its proper divisors (98461612).

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

85639424 is a wasteful number, since it uses less digits than its factorization.

85639424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25762 (or 25748 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 85639424 is about 9254.1571199110. The cubic root of 85639424 is about 440.7827389506.

The spelling of 85639424 in words is "eighty-five million, six hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 25733 51466 102932 205864 334529 411728 669058 823456 1338116 1646912 2676232 3293824 5352464 6587648 10704928 21409856 42819712 85639424