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54255344 = 241113231031
BaseRepresentation
bin1100111011110…
…1111011110000
310210002110100012
43032331323300
5102342132334
65214514052
71226106563
oct316757360
9123073305
1054255344
1128697930
1216205928
13b318270
1472c44da
154b6a9ce
hex33bdef0

54255344 has 80 divisors (see below), whose sum is σ = 128991744. Its totient is φ = 21753600.

The previous prime is 54255337. The next prime is 54255361. The reversal of 54255344 is 44355245.

It is a self number, because there is not a number n which added to its sum of digits gives 54255344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52109 + ... + 53139.

Almost surely, 254255344 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 54255344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64495872).

54255344 is an abundant number, since it is smaller than the sum of its proper divisors (74736400).

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

54255344 is a wasteful number, since it uses less digits than its factorization.

54255344 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 48000, while the sum is 32.

The square root of 54255344 is about 7365.8226967529. The cubic root of 54255344 is about 378.5711437181.

Subtracting from 54255344 its reverse (44355245), we obtain a palindrome (9900099).

The spelling of 54255344 in words is "fifty-four million, two hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 176 184 208 253 286 299 368 506 572 598 1012 1031 1144 1196 2024 2062 2288 2392 3289 4048 4124 4784 6578 8248 11341 13156 13403 16496 22682 23713 26312 26806 45364 47426 52624 53612 90728 94852 107224 147433 181456 189704 214448 260843 294866 308269 379408 521686 589732 616538 1043372 1179464 1233076 2086744 2358928 2466152 3390959 4173488 4932304 6781918 13563836 27127672 54255344