Search a number
-
+
54408276 = 223213116257
BaseRepresentation
bin1100111110001…
…1010001010100
310210101020010100
43033203101110
5102412031101
65222054100
71230314466
oct317432124
9123336110
1054408276
112879181a
121627a330
13b36ca60
147324136
154b9ae86
hex33e3454

54408276 has 36 divisors (see below), whose sum is σ = 148112692. Its totient is φ = 16740864.

The previous prime is 54408253. The next prime is 54408283. The reversal of 54408276 is 67280445.

54408276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7128900 + 47279376 = 2670^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 54408276.

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, 57661 + ... + 58596.

Almost surely, 254408276 is an apocalyptic number.

It is an amenable number.

54408276 is an abundant number, since it is smaller than the sum of its proper divisors (93704416).

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

54408276 is a wasteful number, since it uses less digits than its factorization.

54408276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116280 (or 116275 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54408276 is about 7376.1965808945. The cubic root of 54408276 is about 378.9265085862.

The spelling of 54408276 in words is "fifty-four million, four hundred eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 116257 232514 348771 465028 697542 1046313 1395084 1511341 2092626 3022682 4185252 4534023 6045364 9068046 13602069 18136092 27204138 54408276