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557943642 = 232313073257
BaseRepresentation
bin100001010000011…
…000101101011010
31102212212110210100
4201100120231122
52120313144032
6131210400230
716553304564
oct4120305532
91385773710
10557943642
11266a43353
12136a30076
138b792089
145415a334
1533eb197c
hex21418b5a

557943642 has 48 divisors (see below), whose sum is σ = 1252323072. Its totient is φ = 179340480.

The previous prime is 557943629. The next prime is 557943653. The reversal of 557943642 is 246349755.

557943642 is a `hidden beast` number, since 5 + 579 + 4 + 36 + 42 = 666.

It is a super-2 number, since 2×5579436422 = 622602215296448328, which contains 22 as substring.

Its product of digits (907200) is a multiple of the sum of its prime divisors (3600).

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, 169678 + ... + 172934.

It is an arithmetic number, because the mean of its divisors is an integer number (26090064).

Almost surely, 2557943642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557943642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626161536).

557943642 is an abundant number, since it is smaller than the sum of its proper divisors (694379430).

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

557943642 is a wasteful number, since it uses less digits than its factorization.

557943642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3600 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 557943642 is about 23620.8306797200. The cubic root of 557943642 is about 823.2469132231.

The spelling of 557943642 in words is "five hundred fifty-seven million, nine hundred forty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 307 558 614 921 1842 2763 3257 5526 6514 9517 9771 19034 19542 28551 29313 57102 58626 85653 100967 171306 201934 302901 605802 908703 999899 1817406 1999798 2999697 5999394 8999091 17998182 30996869 61993738 92990607 185981214 278971821 557943642