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54243792 = 24321632311
BaseRepresentation
bin1100111011101…
…1000111010000
310210001212111100
43032323013100
5102341300132
65214344400
71226031111
oct316730720
9123055440
1054243792
112868a189
12161bb100
13b312c25
1472c0208
154b6737c
hex33bb1d0

54243792 has 60 divisors (see below), whose sum is σ = 152804704. Its totient is φ = 17962560.

The previous prime is 54243733. The next prime is 54243793. The reversal of 54243792 is 29734245.

54243792 is a `hidden beast` number, since 542 + 43 + 79 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54243793) 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, 22317 + ... + 24627.

Almost surely, 254243792 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 54243792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76402352).

54243792 is an abundant number, since it is smaller than the sum of its proper divisors (98560912).

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

54243792 is a wasteful number, since it uses less digits than its factorization.

54243792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2479 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54243792 is about 7365.0384927711. The cubic root of 54243792 is about 378.5442734663.

It can be divided in two parts, 5424 and 3792, that added together give a square (9216 = 962).

The spelling of 54243792 in words is "fifty-four million, two hundred forty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2311 2608 2934 3912 4622 5868 6933 7824 9244 11736 13866 18488 20799 23472 27732 36976 41598 55464 83196 110928 166392 332784 376693 753386 1130079 1506772 2260158 3013544 3390237 4520316 6027088 6780474 9040632 13560948 18081264 27121896 54243792