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85570968 = 23373971283
BaseRepresentation
bin1010001100110…
…11010110011000
312222000110022010
411012123112120
5133401232333
612254025520
72056225020
oct506332630
9188013263
1085570968
114433680a
12247a82a0
1314961012
14b516a80
1577a4563
hex519b598

85570968 has 64 divisors (see below), whose sum is σ = 245295360. Its totient is φ = 24368256.

The previous prime is 85570957. The next prime is 85570987. The reversal of 85570968 is 86907558.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66055 + ... + 67337.

It is an arithmetic number, because the mean of its divisors is an integer number (3832740).

Almost surely, 285570968 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 85570968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122647680).

85570968 is an abundant number, since it is smaller than the sum of its proper divisors (159724392).

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

85570968 is a wasteful number, since it uses less digits than its factorization.

85570968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 85570968 is about 9250.4577184051. The cubic root of 85570968 is about 440.6652608652.

The spelling of 85570968 in words is "eighty-five million, five hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1283 1588 2382 2566 2779 3176 3849 4764 5132 5558 7698 8337 8981 9528 10264 11116 15396 16674 17962 22232 26943 30792 33348 35924 53886 66696 71848 107772 215544 509351 1018702 1528053 2037404 3056106 3565457 4074808 6112212 7130914 10696371 12224424 14261828 21392742 28523656 42785484 85570968