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575116992 = 26325318839
BaseRepresentation
bin100010010001111…
…001011011000000
31111002011222012100
4202101321123000
52134212220432
6133022430400
720152261632
oct4221713300
91432158170
10575116992
112757029aa
12140732400
13921c5a18
145654aa52
153575507c
hex224796c0

575116992 has 84 divisors (see below), whose sum is σ = 1679661360. Its totient is φ = 188078592.

The previous prime is 575116981. The next prime is 575116999. The reversal of 575116992 is 299611575.

575116992 is a `hidden beast` number, since 575 + 11 + 69 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (575116999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21109 + ... + 39947.

Almost surely, 2575116992 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 575116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839830680).

575116992 is an abundant number, since it is smaller than the sum of its proper divisors (1104544368).

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

575116992 is a wasteful number, since it uses less digits than its factorization.

575116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18910 (or 18897 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 575116992 is about 23981.5969443238. The cubic root of 575116992 is about 831.6081426407.

The spelling of 575116992 in words is "five hundred seventy-five million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 18839 30528 37678 56517 75356 113034 150712 169551 226068 301424 339102 452136 602848 678204 904272 998467 1205696 1356408 1808544 1996934 2712816 2995401 3617088 3993868 5425632 5990802 7987736 8986203 10851264 11981604 15975472 17972406 23963208 31950944 35944812 47926416 63901888 71889624 95852832 143779248 191705664 287558496 575116992