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557943568 = 247132316661
BaseRepresentation
bin100001010000011…
…000101100010000
31102212212110200121
4201100120230100
52120313143233
6131210400024
716553304430
oct4120305420
91385773617
10557943568
11266a43296
12136a30014
138b792030
145415a2c0
1533eb192d
hex21418b10

557943568 has 80 divisors (see below), whose sum is σ = 1388411136. Its totient is φ = 211115520.

The previous prime is 557943563. The next prime is 557943571. The reversal of 557943568 is 865349755.

It is a super-2 number, since 2×5579435682 = 622602050145141248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (557943563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25158 + ... + 41818.

Almost surely, 2557943568 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 557943568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694205568).

557943568 is an abundant number, since it is smaller than the sum of its proper divisors (830467568).

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

557943568 is a wasteful number, since it uses less digits than its factorization.

557943568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712 (or 16706 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 52.

The square root of 557943568 is about 23620.8291133059. The cubic root of 557943568 is about 823.2468768274.

The spelling of 557943568 in words is "five hundred fifty-seven million, nine hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 8372 16661 16744 33322 33488 66644 116627 133288 216593 233254 266576 383203 433186 466508 766406 866372 933016 1516151 1532812 1732744 1866032 2682421 3032302 3065624 3465488 4981639 5364842 6064604 6131248 9963278 10729684 12129208 19926556 21459368 24258416 34871473 39853112 42918736 69742946 79706224 139485892 278971784 557943568