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85253376 = 283138539
BaseRepresentation
bin1010001010011…
…01110100000000
312221102022122110
411011031310000
5133311102001
612243135320
72053433055
oct505156400
9187368573
1085253376
114413a13a
1224674540
131487c5b0
14b47302c
1577403d6
hex514dd00

85253376 has 72 divisors (see below), whose sum is σ = 244380640. Its totient is φ = 26228736.

The previous prime is 85253339. The next prime is 85253381. The reversal of 85253376 is 67335258.

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 7 ways as a sum of consecutive naturals, for example, 5715 + ... + 14253.

Almost surely, 285253376 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 85253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122190320).

85253376 is an abundant number, since it is smaller than the sum of its proper divisors (159127264).

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

85253376 is a wasteful number, since it uses less digits than its factorization.

85253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571 (or 8557 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 85253376 is about 9233.2754751497. The cubic root of 85253376 is about 440.1194166230.

The spelling of 85253376 in words is "eighty-five million, two hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 8539 9984 17078 25617 34156 51234 68312 102468 111007 136624 204936 222014 273248 333021 409872 444028 546496 666042 819744 888056 1092992 1332084 1639488 1776112 2185984 2664168 3278976 3552224 5328336 6557952 7104448 10656672 14208896 21313344 28417792 42626688 85253376