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557492160 = 26355310957
BaseRepresentation
bin100001001110101…
…010011111000000
31102212000112110210
4201032222133000
52120204222120
6131152554120
716546414401
oct4116523700
91385015423
10557492160
11266765125
12136852940
138b664724
145407d9a8
1533e22ce0
hex213aa7c0

557492160 has 112 divisors (see below), whose sum is σ = 1803599136. Its totient is φ = 145846272.

The previous prime is 557492123. The next prime is 557492161. The reversal of 557492160 is 61294755.

It is a super-2 number, since 2×5574921602 = 621595016922931200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557492161) 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 15 ways as a sum of consecutive naturals, for example, 45402 + ... + 56358.

Almost surely, 2557492160 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 557492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901799568).

557492160 is an abundant number, since it is smaller than the sum of its proper divisors (1246106976).

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

557492160 is a wasteful number, since it uses less digits than its factorization.

557492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11030 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 557492160 is about 23611.2718844199. The cubic root of 557492160 is about 823.0247991161.

The spelling of 557492160 in words is "five hundred fifty-seven million, four hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 10957 12720 16960 21914 25440 32871 43828 50880 54785 65742 87656 109570 131484 164355 175312 219140 262968 328710 350624 438280 525936 580721 657420 701248 876560 1051872 1161442 1314840 1742163 1753120 2103744 2322884 2629680 2903605 3484326 3506240 4645768 5259360 5807210 6968652 8710815 9291536 10518720 11614420 13937304 17421630 18583072 23228840 27874608 34843260 37166144 46457680 55749216 69686520 92915360 111498432 139373040 185830720 278746080 557492160