Search a number
-
+
557710944 = 25372532237
BaseRepresentation
bin100001001111011…
…111111001100000
31102212102122120220
4201033133321200
52120233222234
6131201403040
716551315300
oct4117377140
91385378526
10557710944
112668a453a
12136939480
138b71019b
14540d9600
1533e67a49
hex213dfe60

557710944 has 144 divisors (see below), whose sum is σ = 1735918128. Its totient is φ = 156269568.

The previous prime is 557710927. The next prime is 557710963. The reversal of 557710944 is 449017755.

It is a happy number.

It is a super-2 number, since 2×5577109442 = 622082994114742272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 557710896 and 557710905.

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, 248194 + ... + 250430.

It is an arithmetic number, because the mean of its divisors is an integer number (12054987).

Almost surely, 2557710944 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 557710944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867959064).

557710944 is an abundant number, since it is smaller than the sum of its proper divisors (1178207184).

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

557710944 is a wasteful number, since it uses less digits than its factorization.

557710944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 557710944 is about 23615.9044713515. The cubic root of 557710944 is about 823.1324485270.

The spelling of 557710944 in words is "five hundred fifty-seven million, seven hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 371 392 424 588 636 672 742 784 848 1113 1176 1272 1484 1568 1696 2226 2237 2352 2544 2597 2968 4452 4474 4704 5088 5194 5936 6711 7791 8904 8948 10388 11872 13422 15582 15659 17808 17896 20776 26844 31164 31318 35616 35792 41552 46977 53688 62328 62636 71584 83104 93954 107376 109613 118561 124656 125272 187908 214752 219226 237122 249312 250544 328839 355683 375816 438452 474244 501088 657678 711366 751632 829927 876904 948488 1315356 1422732 1503264 1659854 1753808 1896976 2489781 2630712 2845464 3319708 3507616 3793952 4979562 5261424 5690928 5809489 6639416 9959124 10522848 11381856 11618978 13278832 17428467 19918248 23237956 26557664 34856934 39836496 46475912 69713868 79672992 92951824 139427736 185903648 278855472 557710944