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85331304 = 233283109131
BaseRepresentation
bin1010001011000…
…00110101101000
312221120021112200
411011200311220
5133321100204
612244540200
72054206212
oct505406550
9187507480
1085331304
1144192743
12246b1660
13148a8bc6
14b4935b2
157758539
hex5160d68

85331304 has 96 divisors (see below), whose sum is σ = 237837600. Its totient is φ = 27630720.

The previous prime is 85331303. The next prime is 85331327. The reversal of 85331304 is 40313358.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85331303) 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 23 ways as a sum of consecutive naturals, for example, 651319 + ... + 651449.

It is an arithmetic number, because the mean of its divisors is an integer number (2477475).

Almost surely, 285331304 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 85331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

85331304 is an abundant number, since it is smaller than the sum of its proper divisors (152506296).

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

85331304 is a wasteful number, since it uses less digits than its factorization.

85331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 85331304 is about 9237.4944654923. The cubic root of 85331304 is about 440.2534765380.

The spelling of 85331304 in words is "eighty-five million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 109 131 166 218 249 262 327 332 393 436 498 524 654 664 747 786 872 981 996 1048 1179 1308 1494 1572 1962 1992 2358 2616 2988 3144 3924 4716 5976 7848 9047 9432 10873 14279 18094 21746 27141 28558 32619 36188 42837 43492 54282 57116 65238 72376 81423 85674 86984 97857 108564 114232 128511 130476 162846 171348 195714 217128 257022 260952 325692 342696 391428 514044 651384 782856 1028088 1185157 2370314 3555471 4740628 7110942 9481256 10666413 14221884 21332826 28443768 42665652 85331304