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54261400 = 2352535119
BaseRepresentation
bin1100111011111…
…1011010011000
310210002202122111
43032333122120
5102342331100
65215002104
71226133334
oct316773230
9123082574
1054261400
11286a1436
1216209334
13b31ac4b
1472c67c4
154b6c6ba
hex33bf698

54261400 has 48 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 21290880.

The previous prime is 54261353. The next prime is 54261413. The reversal of 54261400 is 416245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8041 + ... + 13159.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 254261400 is an apocalyptic number.

54261400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

54261400 is an abundant number, since it is smaller than the sum of its proper divisors (74301800).

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

54261400 is a wasteful number, since it uses less digits than its factorization.

54261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54261400 is about 7366.2337731028. The cubic root of 54261400 is about 378.5852286075.

Adding to 54261400 its reverse (416245), we get a palindrome (54677645).

The spelling of 54261400 in words is "fifty-four million, two hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5119 5300 10238 10600 20476 25595 40952 51190 102380 127975 204760 255950 271307 511900 542614 1023800 1085228 1356535 2170456 2713070 5426140 6782675 10852280 13565350 27130700 54261400