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55760896 = 211191433
BaseRepresentation
bin1101010010110…
…1100000000000
310212220221120101
43110231200000
5103233322041
65311052144
71244650132
oct324554000
9125827511
1055760896
1129525a94
1216811054
13b724619
147597052
154d66b31
hex352d800

55760896 has 48 divisors (see below), whose sum is σ = 117444600. Its totient is φ = 26394624.

The previous prime is 55760857. The next prime is 55760897. The reversal of 55760896 is 69806755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55760897) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38196 + ... + 39628.

Almost surely, 255760896 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 55760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58722300).

55760896 is an abundant number, since it is smaller than the sum of its proper divisors (61683704).

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

55760896 is a wasteful number, since it uses less digits than its factorization.

55760896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 55760896 is about 7467.3218760142. The cubic root of 55760896 is about 382.0409484351.

The spelling of 55760896 in words is "fifty-five million, seven hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 1433 2048 2432 2866 4864 5732 9728 11464 19456 22928 27227 38912 45856 54454 91712 108908 183424 217816 366848 435632 733696 871264 1467392 1742528 2934784 3485056 6970112 13940224 27880448 55760896