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85486374 = 2332979691
BaseRepresentation
bin1010001100001…
…10101100100110
312221212011021000
411012012230212
5133341030444
612252134130
72055423261
oct506065446
9187764230
1085486374
11442891a6
1224767346
131493166c
14b4d3cd8
157789469
hex5186b26

85486374 has 64 divisors (see below), whose sum is σ = 199296000. Its totient is φ = 27125280.

The previous prime is 85486361. The next prime is 85486409. The reversal of 85486374 is 47368458.

85486374 is a `hidden beast` number, since 8 + 5 + 4 + 8 + 637 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123369 + ... + 124059.

It is an arithmetic number, because the mean of its divisors is an integer number (3114000).

Almost surely, 285486374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85486374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99648000).

85486374 is an abundant number, since it is smaller than the sum of its proper divisors (113809626).

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

85486374 is a wasteful number, since it uses less digits than its factorization.

85486374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 85486374 is about 9245.8841654003. The cubic root of 85486374 is about 440.5200015999.

The spelling of 85486374 in words is "eighty-five million, four hundred eighty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 87 158 174 237 261 474 522 691 711 783 1382 1422 1566 2073 2133 2291 4146 4266 4582 6219 6873 12438 13746 18657 20039 20619 37314 40078 41238 54589 60117 61857 109178 120234 123714 163767 180351 327534 360702 491301 541053 982602 1082106 1473903 1583081 2947806 3166162 4749243 9498486 14247729 28495458 42743187 85486374