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557855424 = 2634715373
BaseRepresentation
bin100001010000000…
…011001011000000
31102212200222210000
4201100003023000
52120302333144
6131204440000
716552456440
oct4120031300
91385628700
10557855424
11266993045
121369a9000
138b760b89
1454136120
1533e95769
hex214032c0

557855424 has 140 divisors (see below), whose sum is σ = 1890018064. Its totient is φ = 159376896.

The previous prime is 557855423. The next prime is 557855461. The reversal of 557855424 is 424558755.

557855424 is a `hidden beast` number, since 5 + 5 + 78 + 554 + 24 = 666.

It is a super-2 number, since 2×5578554242 = 622405348172439552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557855424.

It is not an unprimeable number, because it can be changed into a prime (557855423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28602 + ... + 43974.

Almost surely, 2557855424 is an apocalyptic number.

557855424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945009032).

557855424 is an abundant number, since it is smaller than the sum of its proper divisors (1332162640).

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

557855424 is a wasteful number, since it uses less digits than its factorization.

557855424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15404 (or 15385 counting only the distinct ones).

The product of its digits is 1120000, while the sum is 45.

The square root of 557855424 is about 23618.9632287279. The cubic root of 557855424 is about 823.2035223268.

The spelling of 557855424 in words is "five hundred fifty-seven million, eight hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 15373 18144 30746 36288 46119 61492 92238 107611 122984 138357 184476 215222 245968 276714 322833 368952 415071 430444 491936 553428 645666 737904 830142 860888 968499 983872 1106856 1245213 1291332 1475808 1660284 1721776 1936998 2213712 2490426 2582664 2905497 2951616 3320568 3443552 3873996 4427424 4980852 5165328 5810994 6641136 6887104 7747992 8716491 8854848 9961704 10330656 11621988 13282272 15495984 17432982 19923408 20661312 23243976 26564544 30991968 34865964 39846816 46487952 61983936 69731928 79693632 92975904 139463856 185951808 278927712 557855424