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54239328 = 25331113439
BaseRepresentation
bin1100111011101…
…0000001100000
310210001122101000
43032322001200
5102341124303
65214312000
71226012103
oct316720140
9123048330
1054239328
11286868a0
12161b8600
13b310ba0
1472bc73a
154b65da3
hex33ba060

54239328 has 192 divisors, whose sum is σ = 186278400. Its totient is φ = 15137280.

The previous prime is 54239321. The next prime is 54239347. The reversal of 54239328 is 82393245.

54239328 is a `hidden beast` number, since 542 + 3 + 93 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54239292 and 54239301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54239321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123333 + ... + 123771.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 254239328 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 54239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

54239328 is an abundant number, since it is smaller than the sum of its proper divisors (132039072).

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

54239328 is a wasteful number, since it uses less digits than its factorization.

54239328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 54239328 is about 7364.7354331300. The cubic root of 54239328 is about 378.5338890645.

The spelling of 54239328 in words is "fifty-four million, two hundred thirty-nine thousand, three hundred twenty-eight".