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85542504 = 23317712953
BaseRepresentation
bin1010001100101…
…00011001101000
312221222000020220
411012110121220
5133344330004
612253250040
72056046025
oct506243150
9187860226
1085542504
1144317393
1224793920
1314951088
14b50a54c
15779add9
hex5194668

85542504 has 64 divisors (see below), whose sum is σ = 229703040. Its totient is φ = 26449920.

The previous prime is 85542493. The next prime is 85542529. The reversal of 85542504 is 40524558.

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, 27492 + ... + 30444.

It is an arithmetic number, because the mean of its divisors is an integer number (3589110).

Almost surely, 285542504 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 85542504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114851520).

85542504 is an abundant number, since it is smaller than the sum of its proper divisors (144160536).

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

85542504 is a wasteful number, since it uses less digits than its factorization.

85542504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 85542504 is about 9248.9190719781. The cubic root of 85542504 is about 440.6163950435.

The spelling of 85542504 in words is "eighty-five million, five hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 2953 3621 4828 5906 7242 8859 9656 11812 14484 17718 23624 28968 35436 50201 70872 100402 150603 200804 209663 301206 401608 419326 602412 628989 838652 1204824 1257978 1677304 2515956 3564271 5031912 7128542 10692813 14257084 21385626 28514168 42771252 85542504