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54331992 = 233311131759
BaseRepresentation
bin1100111101000…
…0101001011000
310210020100111000
43033100221120
5102402110432
65220305000
71226546211
oct317205130
9123210430
1054331992
112873a480
1216242160
13b344110
147304408
154b8357c
hex33d0a58

54331992 has 128 divisors (see below), whose sum is σ = 177408000. Its totient is φ = 15189120.

The previous prime is 54331987. The next prime is 54331999. The reversal of 54331992 is 29913345.

It is a happy number.

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 (54331999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30009 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 254331992 is an apocalyptic number.

54331992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54331992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

54331992 is an abundant number, since it is smaller than the sum of its proper divisors (123076008).

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

54331992 is a wasteful number, since it uses less digits than its factorization.

54331992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1788 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 54331992 is about 7371.0238094854. The cubic root of 54331992 is about 378.7493324172.

The spelling of 54331992 in words is "fifty-four million, three hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 1759 2376 2574 2808 3432 3518 3861 5148 5277 7036 7722 10296 10554 14072 15444 15831 19349 21108 22867 30888 31662 38698 42216 45734 47493 58047 63324 68601 77396 91468 94986 116094 126648 137202 154792 174141 182936 189972 205803 232188 251537 274404 348282 379944 411606 464376 503074 522423 548808 617409 696564 754611 823212 1006148 1044846 1234818 1393128 1509222 1646424 2012296 2089692 2263833 2469636 3018444 4179384 4527666 4939272 6036888 6791499 9055332 13582998 18110664 27165996 54331992