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55738368 = 215357
BaseRepresentation
bin1101010010100…
…0000000000000
310212212210200000
43110220000000
5103232111433
65310400000
71244524350
oct324500000
9125783600
1055738368
1129510074
1216800000
13b7172aa
14758cb60
154d60113
hex3528000

55738368 has 192 divisors, whose sum is σ = 190837920. Its totient is φ = 15925248.

The previous prime is 55738357. The next prime is 55738369. The reversal of 55738368 is 86383755.

55738368 is a `hidden beast` number, since 557 + 38 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (604800) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (55738369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962621 + ... + 7962627.

Almost surely, 255738368 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 55738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418960).

55738368 is an abundant number, since it is smaller than the sum of its proper divisors (135099552).

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

55738368 is an frugal number, since it uses more digits than its factorization.

55738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 12 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 55738368 is about 7465.8132845659. The cubic root of 55738368 is about 381.9894919581.

Multiplying 55738368 by its product of digits (604800), we get a square (33710564966400 = 58060802).

The spelling of 55738368 in words is "fifty-five million, seven hundred thirty-eight thousand, three hundred sixty-eight".