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85104756 = 22341123879
BaseRepresentation
bin1010001001010…
…01100001110100
312221010202210000
411010221201310
5133241323011
612240031300
72052243552
oct504514164
9187122700
1085104756
1144048510
1224602530
1314829a59
14b434bd2
157711356
hex5129874

85104756 has 60 divisors (see below), whose sum is σ = 242716320. Its totient is φ = 25788240.

The previous prime is 85104751. The next prime is 85104757. The reversal of 85104756 is 65740158.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85104756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85104751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8376 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (4045272).

Almost surely, 285104756 is an apocalyptic number.

It is an amenable number.

85104756 is an abundant number, since it is smaller than the sum of its proper divisors (157611564).

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

85104756 is a wasteful number, since it uses less digits than its factorization.

85104756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23906 (or 23895 counting only the distinct ones).

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

The square root of 85104756 is about 9225.2238997219. The cubic root of 85104756 is about 439.8635182758.

The spelling of 85104756 in words is "eighty-five million, one hundred four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 23879 47758 71637 95516 143274 214911 262669 286548 429822 525338 644733 788007 859644 1050676 1289466 1576014 1934199 2364021 2578932 3152028 3868398 4728042 7092063 7736796 9456084 14184126 21276189 28368252 42552378 85104756