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55770496 = 274110627
BaseRepresentation
bin1101010010111…
…1110110000000
310212221102201221
43110233312000
5103234123441
65311204424
71245020125
oct324576600
9125842657
1055770496
1129532221
1216816714
13b728ac2
14759a74c
154d698d1
hex352fd80

55770496 has 32 divisors (see below), whose sum is σ = 113825880. Its totient is φ = 27202560.

The previous prime is 55770487. The next prime is 55770497. The reversal of 55770496 is 69407755.

55770496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×557704962 = 6220696448172032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55770497) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 66 + ... + 10561.

Almost surely, 255770496 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 55770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56912940).

55770496 is an abundant number, since it is smaller than the sum of its proper divisors (58055384).

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

55770496 is a wasteful number, since it uses less digits than its factorization.

55770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 55770496 is about 7467.9646490861. The cubic root of 55770496 is about 382.0628716998.

The spelling of 55770496 in words is "fifty-five million, seven hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 10627 21254 42508 85016 170032 340064 435707 680128 871414 1360256 1742828 3485656 6971312 13942624 27885248 55770496