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54179952 = 2431767991
BaseRepresentation
bin1100111010101…
…1100001110000
310202221121220220
43032223201300
5102332224302
65213133040
71225344021
oct316534160
9122847826
1054179952
1128646222
121618a180
13b2bcb58
1472a4c48
154b534bc
hex33ab870

54179952 has 80 divisors (see below), whose sum is σ = 150561792. Its totient is φ = 16727040.

The previous prime is 54179929. The next prime is 54179959. The reversal of 54179952 is 25997145.

54179952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (113400) is a multiple of the sum of its prime divisors (1080).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54179959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54177 + ... + 55167.

Almost surely, 254179952 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 54179952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75280896).

54179952 is an abundant number, since it is smaller than the sum of its proper divisors (96381840).

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

54179952 is a wasteful number, since it uses less digits than its factorization.

54179952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 54179952 is about 7360.7032272739. The cubic root of 54179952 is about 378.3957111317.

The spelling of 54179952 in words is "fifty-four million, one hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 804 816 991 1072 1139 1608 1982 2278 2973 3216 3417 3964 4556 5946 6834 7928 9112 11892 13668 15856 16847 18224 23784 27336 33694 47568 50541 54672 66397 67388 101082 132794 134776 199191 202164 265588 269552 398382 404328 531176 796764 808656 1062352 1128749 1593528 2257498 3187056 3386247 4514996 6772494 9029992 13544988 18059984 27089976 54179952