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557857400 = 23523189977
BaseRepresentation
bin100001010000000…
…011101001111000
31102212201002111012
4201100003221320
52120302414100
6131204453052
716552465262
oct4120035170
91385632435
10557857400
11266994581
121369aa188
138b761a49
1454136b32
1533e96135
hex21403a78

557857400 has 48 divisors (see below), whose sum is σ = 1338872640. Its totient is φ = 215942400.

The previous prime is 557857393. The next prime is 557857411. The reversal of 557857400 is 4758755.

557857400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5578574002 = 622409757469520000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 38789 + ... + 51188.

It is an arithmetic number, because the mean of its divisors is an integer number (27893180).

Almost surely, 2557857400 is an apocalyptic number.

557857400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557857400 is an abundant number, since it is smaller than the sum of its proper divisors (781015240).

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

557857400 is a wasteful number, since it uses less digits than its factorization.

557857400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90024 (or 90015 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 557857400 is about 23619.0050594855. The cubic root of 557857400 is about 823.2044942920.

The spelling of 557857400 in words is "five hundred fifty-seven million, eight hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 89977 179954 359908 449885 719816 899770 1799540 2249425 2789287 3599080 4498850 5578574 8997700 11157148 13946435 17995400 22314296 27892870 55785740 69732175 111571480 139464350 278928700 557857400