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85255104 = 26311371091
BaseRepresentation
bin1010001010011…
…10001111000000
312221102102000110
411011032033000
5133311130404
612243151320
72053441104
oct505161700
9187372013
1085255104
1144140470
1224675540
131488030c
14b473904
157740b89
hex514e3c0

85255104 has 112 divisors (see below), whose sum is σ = 252959616. Its totient is φ = 25113600.

The previous prime is 85255091. The next prime is 85255127. The reversal of 85255104 is 40155258.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77599 + ... + 78689.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 285255104 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 85255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

85255104 is an abundant number, since it is smaller than the sum of its proper divisors (167704512).

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

85255104 is a wasteful number, since it uses less digits than its factorization.

85255104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 85255104 is about 9233.3690492691. The cubic root of 85255104 is about 440.1223901953.

The spelling of 85255104 in words is "eighty-five million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 814 888 1056 1091 1184 1221 1628 1776 2112 2182 2368 2442 3256 3273 3552 4364 4884 6512 6546 7104 8728 9768 12001 13024 13092 17456 19536 24002 26048 26184 34912 36003 39072 40367 48004 52368 69824 72006 78144 80734 96008 104736 121101 144012 161468 192016 209472 242202 288024 322936 384032 444037 484404 576048 645872 768064 888074 968808 1152096 1291744 1332111 1776148 1937616 2304192 2583488 2664222 3552296 3875232 5328444 7104592 7750464 10656888 14209184 21313776 28418368 42627552 85255104