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85010364 = 22335471439
BaseRepresentation
bin1010001000100…
…10011110111100
312220221222022000
411010102132330
5133230312424
612234022300
72051401425
oct504223674
9186858260
1085010364
1143a935aa
1224577990
13147c5aba
14b40c64c
1576e33c9
hex51127bc

85010364 has 48 divisors (see below), whose sum is σ = 220953600. Its totient is φ = 28265328.

The previous prime is 85010363. The next prime is 85010377. The reversal of 85010364 is 46301058.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85010363) 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 15 ways as a sum of consecutive naturals, for example, 58357 + ... + 59795.

It is an arithmetic number, because the mean of its divisors is an integer number (4603200).

Almost surely, 285010364 is an apocalyptic number.

It is an amenable number.

85010364 is an abundant number, since it is smaller than the sum of its proper divisors (135943236).

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

85010364 is a wasteful number, since it uses less digits than its factorization.

85010364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85010364 is about 9220.1065069770. The cubic root of 85010364 is about 439.7008365848.

The spelling of 85010364 in words is "eighty-five million, ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 547 1094 1439 1641 2188 2878 3282 4317 4923 5756 6564 8634 9846 12951 14769 17268 19692 25902 29538 38853 51804 59076 77706 155412 787133 1574266 2361399 3148532 4722798 7084197 9445596 14168394 21252591 28336788 42505182 85010364