Search a number
-
+
54264112 = 247736637
BaseRepresentation
bin1100111100000…
…0000100110000
310210002220100221
43033000010300
5102342422422
65215022424
71226144260
oct317000460
9123086327
1054264112
11286a3481
121620aa14
13b31c256
1472c77a0
154b6d3c7
hex33c0130

54264112 has 40 divisors (see below), whose sum is σ = 121820576. Its totient is φ = 22934016.

The previous prime is 54264109. The next prime is 54264121. The reversal of 54264112 is 21146245.

It is a happy number.

It is a super-2 number, since 2×542641122 = 5889187702297088, which contains 22 as substring.

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, 4858 + ... + 11494.

Almost surely, 254264112 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 54264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60910288).

54264112 is an abundant number, since it is smaller than the sum of its proper divisors (67556464).

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

54264112 is a wasteful number, since it uses less digits than its factorization.

54264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6719 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 54264112 is about 7366.4178540183. The cubic root of 54264112 is about 378.5915357677.

The spelling of 54264112 in words is "fifty-four million, two hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 6637 8176 13274 26548 46459 53096 92918 106192 185836 371672 484501 743344 969002 1938004 3391507 3876008 6783014 7752016 13566028 27132056 54264112