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85326336 = 293218517
BaseRepresentation
bin1010001010111…
…11101000000000
312221120000201200
411011133220000
5133320420321
612244501200
72054155554
oct505375000
9187500650
1085326336
1144189a37
12246aa800
13148a6874
14b491864
157756d26
hex515fa00

85326336 has 60 divisors (see below), whose sum is σ = 246270882. Its totient is φ = 28440576.

The previous prime is 85326301. The next prime is 85326379. The reversal of 85326336 is 63362358.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 78854400 + 6471936 = 8880^2 + 2544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85326336.

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 5 ways as a sum of consecutive naturals, for example, 4651 + ... + 13866.

Almost surely, 285326336 is an apocalyptic number.

It is an amenable number.

85326336 is an abundant number, since it is smaller than the sum of its proper divisors (160944546).

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

85326336 is a wasteful number, since it uses less digits than its factorization.

85326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541 (or 18522 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 85326336 is about 9237.2255574929. The cubic root of 85326336 is about 440.2449324999.

The spelling of 85326336 in words is "eighty-five million, three hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 18517 37034 55551 74068 111102 148136 166653 222204 296272 333306 444408 592544 666612 888816 1185088 1333224 1777632 2370176 2666448 3555264 4740352 5332896 7110528 9480704 10665792 14221056 21331584 28442112 42663168 85326336