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557861472 = 25337213177
BaseRepresentation
bin100001010000000…
…100101001100000
31102212201022002000
4201100010221200
52120303031342
6131204524000
716552513200
oct4120045140
91385638060
10557861472
11266997643
121369b0600
138b76385c
1454138400
1533e9744c
hex21404a60

557861472 has 144 divisors (see below), whose sum is σ = 1892887920. Its totient is φ = 159376896.

The previous prime is 557861459. The next prime is 557861561. The reversal of 557861472 is 274168755.

557861472 is a `hidden beast` number, since 5 + 578 + 6 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5578614722 = 622418843884013568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35748 + ... + 48924.

It is an arithmetic number, because the mean of its divisors is an integer number (13145055).

Almost surely, 2557861472 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 557861472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946443960).

557861472 is an abundant number, since it is smaller than the sum of its proper divisors (1335026448).

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

557861472 is a wasteful number, since it uses less digits than its factorization.

557861472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13189 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 557861472 is about 23619.0912610964. The cubic root of 557861472 is about 823.2064972415.

The spelling of 557861472 in words is "five hundred fifty-seven million, eight hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 13177 14112 21168 26354 39531 42336 52708 79062 92239 105416 118593 158124 184478 210832 237186 276717 316248 355779 368956 421664 474372 553434 632496 645673 711558 737912 830151 948744 1106868 1264992 1291346 1423116 1475824 1660302 1897488 1937019 2213736 2490453 2582692 2846232 2951648 3320604 3794976 3874038 4427472 4980906 5165384 5692464 5811057 6641208 7748076 8854944 9961812 10330768 11384928 11622114 13282416 15496152 17433171 19923624 20661536 23244228 26564832 30992304 34866342 39847248 46488456 61984608 69732684 79694496 92976912 139465368 185953824 278930736 557861472