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85708506 = 231319151383
BaseRepresentation
bin1010001101111…
…00111011011010
312222021102222010
411012330323122
5133420133011
612301010350
72060340012
oct506747332
9188242863
1085708506
1144420084
12248539b6
13149ab7c0
14b550c42
1577d01a6
hex51bceda

85708506 has 64 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 24753600.

The previous prime is 85708501. The next prime is 85708523. The reversal of 85708506 is 60580758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (85708501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223591 + ... + 223973.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 285708506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85708506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

85708506 is an abundant number, since it is smaller than the sum of its proper divisors (110407974).

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

85708506 is a wasteful number, since it uses less digits than its factorization.

85708506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 85708506 is about 9257.8888522168. Note that the first 4 decimals coincide. The cubic root of 85708506 is about 440.9012278729.

The spelling of 85708506 in words is "eighty-five million, seven hundred eight thousand, five hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 151 247 302 383 453 494 741 766 906 1149 1482 1963 2298 2869 3926 4979 5738 5889 7277 8607 9958 11778 14554 14937 17214 21831 29874 37297 43662 57833 74594 94601 111891 115666 173499 189202 223782 283803 346998 567606 751829 1098827 1503658 2197654 2255487 3296481 4510974 6592962 14284751 28569502 42854253 85708506