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54427776 = 2731310903
BaseRepresentation
bin1100111110100…
…0000010000000
310210102012212120
43033220002000
5102413142101
65222324240
71230425364
oct317500200
9123365776
1054427776
11287a5437
1216289680
13b3788b0
14732b2a4
154ba1b36
hex33e8080

54427776 has 64 divisors (see below), whose sum is σ = 155709120. Its totient is φ = 16745472.

The previous prime is 54427753. The next prime is 54427781. The reversal of 54427776 is 67772445.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (2432955).

Almost surely, 254427776 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 54427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77854560).

54427776 is an abundant number, since it is smaller than the sum of its proper divisors (101281344).

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

54427776 is a wasteful number, since it uses less digits than its factorization.

54427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933 (or 10921 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 54427776 is about 7377.5182819157. The cubic root of 54427776 is about 378.9717724375.

The spelling of 54427776 in words is "fifty-four million, four hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 10903 21806 32709 43612 65418 87224 130836 141739 174448 261672 283478 348896 425217 523344 566956 697792 850434 1046688 1133912 1395584 1700868 2093376 2267824 3401736 4186752 4535648 6803472 9071296 13606944 18142592 27213888 54427776