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85301256 = 23359107563
BaseRepresentation
bin1010001010110…
…01100000001000
312221111202022210
411011121200020
5133314120011
612244145120
72054022465
oct505314010
9187452283
1085301256
1144172107
12246981a0
1314898321
14b48666c
15774e6a6
hex5159808

85301256 has 64 divisors (see below), whose sum is σ = 219283200. Its totient is φ = 27641408.

The previous prime is 85301239. The next prime is 85301263. The reversal of 85301256 is 65210358.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151231 + ... + 151793.

It is an arithmetic number, because the mean of its divisors is an integer number (3426300).

Almost surely, 285301256 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 85301256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109641600).

85301256 is an abundant number, since it is smaller than the sum of its proper divisors (133981944).

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

85301256 is a wasteful number, since it uses less digits than its factorization.

85301256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 85301256 is about 9235.8679072408. The cubic root of 85301256 is about 440.2017944904.

The spelling of 85301256 in words is "eighty-five million, three hundred one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 59 107 118 177 214 236 321 354 428 472 563 642 708 856 1126 1284 1416 1689 2252 2568 3378 4504 6313 6756 12626 13512 18939 25252 33217 37878 50504 60241 66434 75756 99651 120482 132868 151512 180723 199302 240964 265736 361446 398604 481928 722892 797208 1445784 3554219 7108438 10662657 14216876 21325314 28433752 42650628 85301256