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54251264 = 28732903
BaseRepresentation
bin1100111011110…
…0111100000000
310210002020202002
43032330330000
5102342020024
65214443132
71226061644
oct316747400
9123066662
1054251264
1128694861
12162034a8
13b316452
1472c2c24
154b696ae
hex33bcf00

54251264 has 36 divisors (see below), whose sum is σ = 109811856. Its totient is φ = 26744832.

The previous prime is 54251261. The next prime is 54251291. The reversal of 54251264 is 46215245.

54251264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54251261) 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 3 ways as a sum of consecutive naturals, for example, 17237 + ... + 20139.

Almost surely, 254251264 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 54251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54905928).

54251264 is an abundant number, since it is smaller than the sum of its proper divisors (55560592).

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

54251264 is an equidigital number, since it uses as much as digits as its factorization.

54251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2978 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 54251264 is about 7365.5457367394. The cubic root of 54251264 is about 378.5616539679.

The spelling of 54251264 in words is "fifty-four million, two hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 2903 4672 5806 9344 11612 18688 23224 46448 92896 185792 211919 371584 423838 743168 847676 1695352 3390704 6781408 13562816 27125632 54251264