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54423264 = 2537109743
BaseRepresentation
bin1100111110011…
…0111011100000
310210101222200110
43033212323200
5102413021024
65222251320
71230406260
oct317467340
9123358613
1054423264
11287a2005
1216286b40
13b37681c
1473297a0
154ba0629
hex33e6ee0

54423264 has 96 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 15386112.

The previous prime is 54423253. The next prime is 54423283. The reversal of 54423264 is 46232445.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72877 + ... + 73619.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 254423264 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 54423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

54423264 is an abundant number, since it is smaller than the sum of its proper divisors (110566176).

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

54423264 is a wasteful number, since it uses less digits than its factorization.

54423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 54423264 is about 7377.2124816898. The cubic root of 54423264 is about 378.9613000401.

The spelling of 54423264 in words is "fifty-four million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 743 763 872 1308 1486 1526 1744 2229 2289 2616 2972 3052 3488 4458 4578 5201 5232 5944 6104 8916 9156 10402 10464 11888 12208 15603 17832 18312 20804 23776 24416 31206 35664 36624 41608 62412 71328 73248 80987 83216 124824 161974 166432 242961 249648 323948 485922 499296 566909 647896 971844 1133818 1295792 1700727 1943688 2267636 2591584 3401454 3887376 4535272 6802908 7774752 9070544 13605816 18141088 27211632 54423264