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608160096 = 25334091721
BaseRepresentation
bin100100001111111…
…100100101100000
31120101100201211000
4210033330211200
52221142110341
6140202552000
721033163335
oct4417744540
91511321730
10608160096
11292321755
1214b808600
1398cc4b5b
145aaac98c
15385d08b6
hex243fc960

608160096 has 96 divisors (see below), whose sum is σ = 1779170400. Its totient is φ = 202106880.

The previous prime is 608160061. The next prime is 608160103. The reversal of 608160096 is 690061806.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 608160096.

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, 352516 + ... + 354236.

It is an arithmetic number, because the mean of its divisors is an integer number (18533025).

Almost surely, 2608160096 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 608160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889585200).

608160096 is an abundant number, since it is smaller than the sum of its proper divisors (1171010304).

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

608160096 is a wasteful number, since it uses less digits than its factorization.

608160096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 608160096 is about 24660.9021732783. The cubic root of 608160096 is about 847.2390676075.

The spelling of 608160096 in words is "six hundred eight million, one hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 409 432 818 864 1227 1636 1721 2454 3272 3442 3681 4908 5163 6544 6884 7362 9816 10326 11043 13088 13768 14724 15489 19632 20652 22086 27536 29448 30978 39264 41304 44172 46467 55072 58896 61956 82608 88344 92934 117792 123912 165216 176688 185868 247824 353376 371736 495648 703889 743472 1407778 1486944 2111667 2815556 4223334 5631112 6335001 8446668 11262224 12670002 16893336 19005003 22524448 25340004 33786672 38010006 50680008 67573344 76020012 101360016 152040024 202720032 304080048 608160096