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85266756 = 22310192
BaseRepresentation
bin1010001010100…
…01000101000100
312221110000000000
411011101011010
5133312014011
612243321300
72053520061
oct505210504
9187400000
1085266756
11441491a3
1224680230
1314885703
14b477c68
157744356
hex5151144

85266756 has 99 divisors (see below), whose sum is σ = 236224191. Its totient is φ = 26926344.

The previous prime is 85266743. The next prime is 85266761. The reversal of 85266756 is 65766258.

The square root of 85266756 is 9234.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (604800) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 4487715 + ... + 4487733.

Almost surely, 285266756 is an apocalyptic number.

85266756 is the 9234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85266756

85266756 is an abundant number, since it is smaller than the sum of its proper divisors (150957435).

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

85266756 is an equidigital number, since it uses as much as digits as its factorization.

85266756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 85266756 is about 440.1424401091.

The spelling of 85266756 in words is "eighty-five million, two hundred sixty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 361 486 513 684 722 729 972 1026 1083 1444 1458 1539 2052 2166 2187 2916 3078 3249 4332 4374 4617 6156 6498 6561 8748 9234 9747 12996 13122 13851 18468 19494 19683 26244 27702 29241 38988 39366 41553 55404 58482 59049 78732 83106 87723 116964 118098 124659 166212 175446 236196 249318 263169 350892 373977 498636 526338 747954 789507 1052676 1121931 1495908 1579014 2243862 2368521 3158028 4487724 4737042 7105563 9474084 14211126 21316689 28422252 42633378 85266756