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85625712 = 24324114503
BaseRepresentation
bin1010001101010…
…00101101110000
312222010020101200
411012220231300
5133410010322
612255131200
72056543434
oct506505560
9188106350
1085625712
1144373957
1224813b00
131497cc03
14b52c9c4
1577b58ac
hex51a8b70

85625712 has 60 divisors (see below), whose sum is σ = 245494704. Its totient is φ = 27843840.

The previous prime is 85625707. The next prime is 85625717. The reversal of 85625712 is 21752658.

It is a happy number.

85625712 is a `hidden beast` number, since 85 + 6 + 2 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85625707) and next prime (85625717).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85625717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348 + ... + 13155.

Almost surely, 285625712 is an apocalyptic number.

85625712 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85625712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122747352).

85625712 is an abundant number, since it is smaller than the sum of its proper divisors (159868992).

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

85625712 is a wasteful number, since it uses less digits than its factorization.

85625712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14558 (or 14549 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 85625712 is about 9253.4162340187. The cubic root of 85625712 is about 440.7592126538.

The spelling of 85625712 in words is "eighty-five million, six hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 14503 29006 43509 58012 87018 116024 130527 174036 232048 261054 348072 522108 594623 696144 1044216 1189246 1783869 2088432 2378492 3567738 4756984 5351607 7135476 9513968 10703214 14270952 21406428 28541904 42812856 85625712