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557730720 = 25325387313
BaseRepresentation
bin100001001111100…
…100101110100000
31102212110122201100
4201033210232200
52120234340340
6131202034400
716551430041
oct4117445640
91385418640
10557730720
11266908388
12136948a00
138b7191a1
14541028c8
1533e6d830
hex213e4ba0

557730720 has 72 divisors (see below), whose sum is σ = 1903260996. Its totient is φ = 148727808.

The previous prime is 557730709. The next prime is 557730727. The reversal of 557730720 is 27037755.

557730720 is a `hidden beast` number, since 557 + 7 + 30 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 546998544 + 10732176 = 23388^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5577307202 = 622127112063436800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (557730727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192217 + ... + 195096.

Almost surely, 2557730720 is an apocalyptic number.

It is an amenable number.

557730720 is an abundant number, since it is smaller than the sum of its proper divisors (1345530276).

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

557730720 is a wasteful number, since it uses less digits than its factorization.

557730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387334 (or 387323 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 557730720 is about 23616.3231685205. The cubic root of 557730720 is about 823.1421776259.

The spelling of 557730720 in words is "five hundred fifty-seven million, seven hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 387313 774626 1161939 1549252 1936565 2323878 3098504 3485817 3873130 4647756 5809695 6197008 6971634 7746260 9295512 11619390 12394016 13943268 15492520 17429085 18591024 23238780 27886536 30985040 34858170 37182048 46477560 55773072 61970080 69716340 92955120 111546144 139432680 185910240 278865360 557730720