Search a number
-
+
54346908 = 22371125347
BaseRepresentation
bin1100111101010…
…0010010011100
310210021002221110
43033110102130
5102403100113
65220502020
71226640540
oct317242234
9123232843
1054346908
112874a700
121624a910
13b34ab45
147309a20
154b87bc3
hex33d449c

54346908 has 72 divisors (see below), whose sum is σ = 159327616. Its totient is φ = 14113440.

The previous prime is 54346867. The next prime is 54346921. The reversal of 54346908 is 80964345.

54346908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 7491 + ... + 12837.

Almost surely, 254346908 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 54346908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79663808).

54346908 is an abundant number, since it is smaller than the sum of its proper divisors (104980708).

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

54346908 is a wasteful number, since it uses less digits than its factorization.

54346908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 54346908 is about 7372.0355397950. The cubic root of 54346908 is about 378.7839891509.

The spelling of 54346908 in words is "fifty-four million, three hundred forty-six thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 5347 10164 10694 16041 21388 32082 37429 58817 64164 74858 112287 117634 149716 176451 224574 235268 352902 411719 449148 646987 705804 823438 1235157 1293974 1646876 1940961 2470314 2587948 3881922 4528909 4940628 7763844 9057818 13586727 18115636 27173454 54346908