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557602432 = 2723375119
BaseRepresentation
bin100001001111000…
…101011010000000
31102212020010201221
4201033011122000
52120221234212
6131155204424
716550354032
oct4117053200
91385203657
10557602432
1126682aa62
121368a6714
138b6a298a
14540abc52
1533e45807
hex213c5680

557602432 has 64 divisors (see below), whose sum is σ = 1190707200. Its totient is φ = 259421184.

The previous prime is 557602399. The next prime is 557602447. The reversal of 557602432 is 234206755.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106369 + ... + 111487.

It is an arithmetic number, because the mean of its divisors is an integer number (18604800).

Almost surely, 2557602432 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 557602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595353600).

557602432 is an abundant number, since it is smaller than the sum of its proper divisors (633104768).

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

557602432 is a wasteful number, since it uses less digits than its factorization.

557602432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 557602432 is about 23613.6069248220. The cubic root of 557602432 is about 823.0790603320.

The spelling of 557602432 in words is "five hundred fifty-seven million, six hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 296 368 592 736 851 1184 1472 1702 2368 2944 3404 4736 5119 6808 10238 13616 20476 27232 40952 54464 81904 108928 117737 163808 189403 235474 327616 378806 470948 655232 757612 941896 1515224 1883792 3030448 3767584 4356269 6060896 7535168 8712538 12121792 15070336 17425076 24243584 34850152 69700304 139400608 278801216 557602432