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557984 = 2574753
BaseRepresentation
bin10001000001110100000
31001100102002
42020032200
5120323414
615543132
74512530
oct2101640
91040362
10557984
11351249
1222aaa8
13166c8b
141074c0
15b04de
hex883a0

557984 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 229632.

The previous prime is 557981. The next prime is 557987. The reversal of 557984 is 489755.

It is an interprime number because it is at equal distance from previous prime (557981) and next prime (557987).

It is a super-2 number, since 2×5579842 = 622692288512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10502 + ... + 10554.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2557984 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 557984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

557984 is an abundant number, since it is smaller than the sum of its proper divisors (748384).

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

557984 is a wasteful number, since it uses less digits than its factorization.

557984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 557984 is about 746.9832662115. The cubic root of 557984 is about 82.3266762180.

The spelling of 557984 in words is "five hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 53 56 94 106 112 188 212 224 329 371 376 424 658 742 752 848 1316 1484 1504 1696 2491 2632 2968 4982 5264 5936 9964 10528 11872 17437 19928 34874 39856 69748 79712 139496 278992 557984