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557432448 = 2731725023
BaseRepresentation
bin100001001110011…
…011111010000000
31102211220111120020
4201032123322000
52120200314243
6131151413440
716546045326
oct4116337200
91384814506
10557432448
11266724281
12136824280
138b6434b1
1454065d16
1533e10283
hex2139be80

557432448 has 96 divisors (see below), whose sum is σ = 1573215360. Its totient is φ = 174845952.

The previous prime is 557432423. The next prime is 557432459. The reversal of 557432448 is 844234755.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108465 + ... + 113487.

It is an arithmetic number, because the mean of its divisors is an integer number (16387660).

Almost surely, 2557432448 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 557432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786607680).

557432448 is an abundant number, since it is smaller than the sum of its proper divisors (1015782912).

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

557432448 is a wasteful number, since it uses less digits than its factorization.

557432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5045 counting only the distinct ones).

The product of its digits is 537600, while the sum is 42.

The square root of 557432448 is about 23610.0073697574. The cubic root of 557432448 is about 822.9954138231.

The spelling of 557432448 in words is "five hundred fifty-seven million, four hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4624 5023 6528 6936 9248 10046 13872 15069 18496 20092 27744 30138 36992 40184 55488 60276 80368 85391 110976 120552 160736 170782 241104 256173 321472 341564 482208 512346 642944 683128 964416 1024692 1366256 1451647 1928832 2049384 2732512 2903294 4098768 4354941 5465024 5806588 8197536 8709882 10930048 11613176 16395072 17419764 23226352 32790144 34839528 46452704 69679056 92905408 139358112 185810816 278716224 557432448