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85933302 = 23713315077
BaseRepresentation
bin1010001111100…
…11110011110110
312222200212022220
411013303303312
5133444331202
612305503210
72062264260
oct507636366
9188625286
1085933302
1144563a64
1224941b06
1314a59c10
14b5acb30
157826abc
hex51f3cf6

85933302 has 64 divisors (see below), whose sum is σ = 218394624. Its totient is φ = 21928320.

The previous prime is 85933301. The next prime is 85933319. The reversal of 85933302 is 20333958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85933301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14388 + ... + 19464.

It is an arithmetic number, because the mean of its divisors is an integer number (3412416).

Almost surely, 285933302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85933302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109197312).

85933302 is an abundant number, since it is smaller than the sum of its proper divisors (132461322).

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

85933302 is a wasteful number, since it uses less digits than its factorization.

85933302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 85933302 is about 9270.0216828225. The cubic root of 85933302 is about 441.2863561491.

The spelling of 85933302 in words is "eighty-five million, nine hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5077 5642 8463 10154 15231 16926 30462 35539 66001 71078 106617 132002 157387 198003 213234 314774 396006 462007 472161 924014 944322 1101709 1386021 2046031 2203418 2772042 3305127 4092062 6138093 6610254 12276186 14322217 28644434 42966651 85933302