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55057344 = 2631392063
BaseRepresentation
bin1101001000000…
…1101111000000
310211121012110220
43102001233000
5103043313334
65244023040
71235660016
oct322015700
9124535426
1055057344
1129095441
1216531a80
13b539314
1474528b6
154c78449
hex3481bc0

55057344 has 56 divisors (see below), whose sum is σ = 146791680. Its totient is φ = 18211584.

The previous prime is 55057309. The next prime is 55057349. The reversal of 55057344 is 44375055.

It is a super-2 number, since 2×550573442 = 6062622256668672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55057349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25657 + ... + 27719.

It is an arithmetic number, because the mean of its divisors is an integer number (2621280).

Almost surely, 255057344 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 55057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73395840).

55057344 is an abundant number, since it is smaller than the sum of its proper divisors (91734336).

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

55057344 is a wasteful number, since it uses less digits than its factorization.

55057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 55057344 is about 7420.0636115872. The cubic root of 55057344 is about 380.4273677486.

The spelling of 55057344 in words is "fifty-five million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2063 2224 3336 4126 4448 6189 6672 8252 8896 12378 13344 16504 24756 26688 33008 49512 66016 99024 132032 198048 286757 396096 573514 860271 1147028 1720542 2294056 3441084 4588112 6882168 9176224 13764336 18352448 27528672 55057344