Search a number
-
+
54118368 = 253420879
BaseRepresentation
bin1100111001110…
…0011111100000
310202211111110000
43032130133200
5102323241433
65211540000
71224666333
oct316343740
9122744400
1054118368
1128603a27
121615a600
13b29ab05
14728a61a
154b40113
hex339c7e0

54118368 has 60 divisors (see below), whose sum is σ = 159168240. Its totient is φ = 18038592.

The previous prime is 54118367. The next prime is 54118369. The reversal of 54118368 is 86381145.

It is an interprime number because it is at equal distance from previous prime (54118367) and next prime (54118369).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54118367) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7848 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (2652804).

Almost surely, 254118368 is an apocalyptic number.

It is an amenable number.

54118368 is an abundant number, since it is smaller than the sum of its proper divisors (105049872).

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

54118368 is a wasteful number, since it uses less digits than its factorization.

54118368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20901 (or 20884 counting only the distinct ones).

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

The square root of 54118368 is about 7356.5187419050. The cubic root of 54118368 is about 378.2522881163.

The spelling of 54118368 in words is "fifty-four million, one hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 20879 41758 62637 83516 125274 167032 187911 250548 334064 375822 501096 563733 668128 751644 1002192 1127466 1503288 1691199 2004384 2254932 3006576 3382398 4509864 6013152 6764796 9019728 13529592 18039456 27059184 54118368