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54881136 = 24321732203
BaseRepresentation
bin1101000101011…
…0101101110000
310211021020202200
43101112231300
5103022144021
65240143200
71234324212
oct321265560
9124236680
1054881136
1128a85012
1216467b00
13b4a705b
1474085b2
154c41126
hex3456b70

54881136 has 60 divisors (see below), whose sum is σ = 154548888. Its totient is φ = 18179712.

The previous prime is 54881089. The next prime is 54881143. The reversal of 54881136 is 63118845.

54881136 is a `hidden beast` number, since 548 + 81 + 1 + 36 = 666.

54881136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54881136.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23811 + ... + 26013.

Almost surely, 254881136 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 54881136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77274444).

54881136 is an abundant number, since it is smaller than the sum of its proper divisors (99667752).

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

54881136 is a wasteful number, since it uses less digits than its factorization.

54881136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 54881136 is about 7408.1803433772. The cubic root of 54881136 is about 380.0210883957.

The spelling of 54881136 in words is "fifty-four million, eight hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2203 2768 3114 4152 4406 6228 6609 8304 8812 12456 13218 17624 19827 24912 26436 35248 39654 52872 79308 105744 158616 317232 381119 762238 1143357 1524476 2286714 3048952 3430071 4573428 6097904 6860142 9146856 13720284 18293712 27440568 54881136