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557190696 = 233375311839
BaseRepresentation
bin100001001101100…
…000111000101000
31102211110012221110
4201031200320220
52120120100241
6131142310320
716544020446
oct4115407050
91384405843
10557190696
11266579687
121367283a0
138b58a44a
1454001b96
1533db3816
hex21360e28

557190696 has 64 divisors (see below), whose sum is σ = 1457740800. Its totient is φ = 177285888.

The previous prime is 557190661. The next prime is 557190707. The reversal of 557190696 is 696091755.

It is a super-2 number, since 2×5571906962 = 620922943417928832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41145 + ... + 52983.

It is an arithmetic number, because the mean of its divisors is an integer number (22777200).

Almost surely, 2557190696 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 557190696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728870400).

557190696 is an abundant number, since it is smaller than the sum of its proper divisors (900550104).

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

557190696 is a wasteful number, since it uses less digits than its factorization.

557190696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 557190696 is about 23604.8871211027. The cubic root of 557190696 is about 822.8764220916.

The spelling of 557190696 in words is "five hundred fifty-seven million, one hundred ninety thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 1272 1961 3922 5883 7844 11766 11839 15688 23532 23678 35517 47064 47356 71034 94712 142068 284136 438043 627467 876086 1254934 1314129 1752172 1882401 2509868 2628258 3504344 3764802 5019736 5256516 7529604 10513032 15059208 23216279 46432558 69648837 92865116 139297674 185730232 278595348 557190696