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85253152 = 2519281499
BaseRepresentation
bin1010001010011…
…01110000100000
312221102022100011
411011031300200
5133311100102
612243134304
72053432315
oct505156040
9187368304
1085253152
1144139a56
1224674394
131487c46a
14b472d0c
1577402d7
hex514dc20

85253152 has 48 divisors (see below), whose sum is σ = 177660000. Its totient is φ = 40158720.

The previous prime is 85253149. The next prime is 85253153. The reversal of 85253152 is 25135258.

It is not an unprimeable number, because it can be changed into a prime (85253153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170599 + ... + 171097.

It is an arithmetic number, because the mean of its divisors is an integer number (3701250).

Almost surely, 285253152 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 85253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88830000).

85253152 is an abundant number, since it is smaller than the sum of its proper divisors (92406848).

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

85253152 is a wasteful number, since it uses less digits than its factorization.

85253152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its digits is 12000, while the sum is 31.

The square root of 85253152 is about 9233.2633451018. The cubic root of 85253152 is about 440.1190311570.

The spelling of 85253152 in words is "eighty-five million, two hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 281 304 499 562 608 998 1124 1996 2248 3992 4496 5339 7984 8992 9481 10678 15968 18962 21356 37924 42712 75848 85424 140219 151696 170848 280438 303392 560876 1121752 2243504 2664161 4487008 5328322 10656644 21313288 42626576 85253152