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432768056 = 23726172953
BaseRepresentation
bin11001110010111…
…000010000111000
31010011022220011112
4121302320100320
51341242034211
6110535415452
713503316310
oct3162702070
91104286145
10432768056
11202317056
12100b24588
136b875496
1441694440
1527ed788b
hex19cb8438

432768056 has 32 divisors (see below), whose sum is σ = 928028640. Its totient is φ = 185338368.

The previous prime is 432768047. The next prime is 432768103. The reversal of 432768056 is 650867234.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 145076 + ... + 148028.

It is an arithmetic number, because the mean of its divisors is an integer number (29000895).

Almost surely, 2432768056 is an apocalyptic number.

It is an amenable number.

432768056 is an abundant number, since it is smaller than the sum of its proper divisors (495260584).

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

432768056 is a wasteful number, since it uses less digits than its factorization.

432768056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 432768056 is about 20803.0780414822. The cubic root of 432768056 is about 756.4003692888.

The spelling of 432768056 in words is "four hundred thirty-two million, seven hundred sixty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 2617 2953 5234 5906 10468 11812 18319 20671 20936 23624 36638 41342 73276 82684 146552 165368 7728001 15456002 30912004 54096007 61824008 108192014 216384028 432768056