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85217574 = 23132312711
BaseRepresentation
bin1010001010001…
…01000100100110
312221100111112110
411011011010212
5133303430244
612242301450
72053223511
oct505050446
9187314473
1085217574
1144115252
1224657886
1314869200
14b463d78
1577349b9
hex5145126

85217574 has 48 divisors (see below), whose sum is σ = 190577664. Its totient is φ = 25365600.

The previous prime is 85217569. The next prime is 85217597. The reversal of 85217574 is 47571258.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30079 + ... + 32789.

It is an arithmetic number, because the mean of its divisors is an integer number (3970368).

Almost surely, 285217574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85217574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95288832).

85217574 is an abundant number, since it is smaller than the sum of its proper divisors (105360090).

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

85217574 is a wasteful number, since it uses less digits than its factorization.

85217574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2760 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 85217574 is about 9231.3365229527. The cubic root of 85217574 is about 440.0577988810.

The spelling of 85217574 in words is "eighty-five million, two hundred seventeen thousand, five hundred seventy-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 2711 5239 5422 8133 10478 15717 16266 31434 35243 70486 84041 105729 168082 211458 252123 458159 504246 916318 1092533 1374477 2185066 2748954 3277599 6555198 14202929 28405858 42608787 85217574