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85538502 = 23275312809
BaseRepresentation
bin1010001100100…
…11011011000110
312221221210202200
411012103123012
5133344213002
612253215330
72056031250
oct506233306
9187853680
1085538502
1144314385
1224791546
131494c2ca
14b508cd0
157799b1c
hex51936c6

85538502 has 48 divisors (see below), whose sum is σ = 215822880. Its totient is φ = 23976576.

The previous prime is 85538491. The next prime is 85538507. The reversal of 85538502 is 20583558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85538507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (4496310).

Almost surely, 285538502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85538502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107911440).

85538502 is an abundant number, since it is smaller than the sum of its proper divisors (130284378).

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

85538502 is a wasteful number, since it uses less digits than its factorization.

85538502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12877 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85538502 is about 9248.7027198413. The cubic root of 85538502 is about 440.6095237057.

The spelling of 85538502 in words is "eighty-five million, five hundred thirty-eight thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 6678 12809 25618 38427 76854 89663 115281 179326 230562 268989 537978 678877 806967 1357754 1613934 2036631 4073262 4752139 6109893 9504278 12219786 14256417 28512834 42769251 85538502