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85506974 = 2717443811
BaseRepresentation
bin1010001100010…
…11101110011110
312221220012111222
411012023232132
5133342210344
612252413342
72055540320
oct506135636
9187805458
1085506974
11442a2723
1224777252
131493ab57
14b4db610
1577905ee
hex518bb9e

85506974 has 32 divisors (see below), whose sum is σ = 155748096. Its totient is φ = 34369920.

The previous prime is 85506947. The next prime is 85506983. The reversal of 85506974 is 47960558.

It is a super-2 number, since 2×855069742 = 14622885205273352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105029 + ... + 105839.

It is an arithmetic number, because the mean of its divisors is an integer number (4867128).

Almost surely, 285506974 is an apocalyptic number.

85506974 is a deficient number, since it is larger than the sum of its proper divisors (70241122).

85506974 is a wasteful number, since it uses less digits than its factorization.

85506974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 85506974 is about 9246.9981074941. The cubic root of 85506974 is about 440.5553833914. Note that the first 3 decimals are identical.

The spelling of 85506974 in words is "eighty-five million, five hundred six thousand, nine hundred seventy-four".

Divisors: 1 2 7 14 17 34 119 238 443 811 886 1622 3101 5677 6202 7531 11354 13787 15062 27574 52717 96509 105434 193018 359273 718546 2514911 5029822 6107641 12215282 42753487 85506974