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54117048 = 23341431279
BaseRepresentation
bin1100111001110…
…0001010111000
310202211102122010
43032130022320
5102323221143
65211525520
71224662436
oct316341270
9122742563
1054117048
1128602a37
12161598a0
13b29a32b
147289d56
154b3ea33
hex339c2b8

54117048 has 64 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 17176320.

The previous prime is 54117043. The next prime is 54117053. The reversal of 54117048 is 84071145.

54117048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54117043) and next prime (54117053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54117043) 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 15 ways as a sum of consecutive naturals, for example, 41673 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 254117048 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 54117048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

54117048 is an abundant number, since it is smaller than the sum of its proper divisors (87809352).

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

54117048 is a wasteful number, since it uses less digits than its factorization.

54117048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 54117048 is about 7356.4290250093. The cubic root of 54117048 is about 378.2492127767.

The spelling of 54117048 in words is "fifty-four million, one hundred seventeen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 984 1032 1279 1763 2558 3526 3837 5116 5289 7052 7674 10232 10578 14104 15348 21156 30696 42312 52439 54997 104878 109994 157317 164991 209756 219988 314634 329982 419512 439976 629268 659964 1258536 1319928 2254877 4509754 6764631 9019508 13529262 18039016 27058524 54117048