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85316736 = 273415419
BaseRepresentation
bin1010001010111…
…01010010000000
312221112112120010
411011131102000
5133320113421
612244344520
72054115561
oct505352200
9187475503
1085316736
11441827aa
12246a5140
13148a239b
14b48c168
157754076
hex515d480

85316736 has 64 divisors (see below), whose sum is σ = 232192800. Its totient is φ = 27740160.

The previous prime is 85316731. The next prime is 85316767. The reversal of 85316736 is 63761358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 85316694 and 85316703.

It is not an unprimeable number, because it can be changed into a prime (85316731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13035 + ... + 18453.

Almost surely, 285316736 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 85316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116096400).

85316736 is an abundant number, since it is smaller than the sum of its proper divisors (146876064).

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

85316736 is a wasteful number, since it uses less digits than its factorization.

85316736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5465 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 85316736 is about 9236.7059063283. The cubic root of 85316736 is about 440.2284213419.

The spelling of 85316736 in words is "eighty-five million, three hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 5419 7872 10838 15744 16257 21676 32514 43352 65028 86704 130056 173408 222179 260112 346816 444358 520224 666537 693632 888716 1040448 1333074 1777432 2080896 2666148 3554864 5332296 7109728 10664592 14219456 21329184 28438912 42658368 85316736