Search a number
-
+
54264224 = 2571571543
BaseRepresentation
bin1100111100000…
…0000110100000
310210002220112002
43033000012200
5102342423344
65215023132
71226144510
oct317000640
9123086462
1054264224
11286a3573
121620aaa8
13b31c311
1472c7840
154b6d44e
hex33c01a0

54264224 has 48 divisors (see below), whose sum is σ = 122951808. Its totient is φ = 23092992.

The previous prime is 54264173. The next prime is 54264239. The reversal of 54264224 is 42246245.

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, 34397 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (2561496).

Almost surely, 254264224 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 54264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61475904).

54264224 is an abundant number, since it is smaller than the sum of its proper divisors (68687584).

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

54264224 is a wasteful number, since it uses less digits than its factorization.

54264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1709 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 54264224 is about 7366.4254560811. The cubic root of 54264224 is about 378.5917962359.

The spelling of 54264224 in words is "fifty-four million, two hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 1543 2198 2512 3086 4396 5024 6172 8792 10801 12344 17584 21602 24688 35168 43204 49376 86408 172816 242251 345632 484502 969004 1695757 1938008 3391514 3876016 6783028 7752032 13566056 27132112 54264224