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54242712 = 2332591132
BaseRepresentation
bin1100111011101…
…0110110011000
310210001211000100
43032322312120
5102341231322
65214335400
71226025006
oct316726630
9123054010
1054242712
1128689397
12161ba560
13b3125a4
1472bda76
154b66dac
hex33bad98

54242712 has 72 divisors (see below), whose sum is σ = 150731100. Its totient is φ = 17617152.

The previous prime is 54242707. The next prime is 54242729. The reversal of 54242712 is 21724245.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×542427122 = 5884543610229888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 479968 + ... + 480080.

Almost surely, 254242712 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 54242712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75365550).

54242712 is an abundant number, since it is smaller than the sum of its proper divisors (96488388).

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

54242712 is a wasteful number, since it uses less digits than its factorization.

54242712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 177 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 54242712 is about 7364.9651730337. The cubic root of 54242712 is about 378.5417611632.

Adding to 54242712 its reverse (21724245), we get a palindrome (75966957).

The spelling of 54242712 in words is "fifty-four million, two hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 113 118 177 226 236 339 354 452 472 531 678 708 904 1017 1062 1356 1416 2034 2124 2712 4068 4248 6667 8136 12769 13334 20001 25538 26668 38307 40002 51076 53336 60003 76614 80004 102152 114921 120006 153228 160008 229842 240012 306456 459684 480024 753371 919368 1506742 2260113 3013484 4520226 6026968 6780339 9040452 13560678 18080904 27121356 54242712