Search a number
-
+
55344268 = 2274321069
BaseRepresentation
bin1101001100011…
…1110010001100
310212010210001201
43103013302030
5103132004033
65254115244
71241263360
oct323076214
9125123051
1055344268
1129270a71
121664bb24
13b609ab5
1474c92a0
154cd347d
hex34c7c8c

55344268 has 36 divisors (see below), whose sum is σ = 113428560. Its totient is φ = 23145696.

The previous prime is 55344259. The next prime is 55344277. The reversal of 55344268 is 86244355.

55344268 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 (55344259) and next prime (55344277).

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, 51238 + ... + 52306.

Almost surely, 255344268 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 55344268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56714280).

55344268 is an abundant number, since it is smaller than the sum of its proper divisors (58084292).

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

55344268 is a wasteful number, since it uses less digits than its factorization.

55344268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1121 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 55344268 is about 7439.3728230275. The cubic root of 55344268 is about 381.0870719033.

The spelling of 55344268 in words is "fifty-five million, three hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1069 1204 1849 2138 3698 4276 7396 7483 12943 14966 25886 29932 45967 51772 91934 183868 321769 643538 1287076 1976581 3953162 7906324 13836067 27672134 55344268