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54650964 = 22329971619
BaseRepresentation
bin1101000001111…
…0100001010100
310210211120000210
43100132201110
5102442312324
65231205420
71232345154
oct320364124
9123746023
1054650964
1128938095
1216376870
13b426364
147388764
154be7d29
hex341e854

54650964 has 48 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 17396736.

The previous prime is 54650951. The next prime is 54650969. The reversal of 54650964 is 46905645.

It is a super-2 number, since 2×546509642 = 5973455732258592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54650969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32947 + ... + 34565.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 254650964 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 54650964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

54650964 is an abundant number, since it is smaller than the sum of its proper divisors (78707436).

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

54650964 is a wasteful number, since it uses less digits than its factorization.

54650964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 54650964 is about 7392.6290316774. The cubic root of 54650964 is about 379.4890732705.

The spelling of 54650964 in words is "fifty-four million, six hundred fifty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 1619 2813 3238 4857 5626 6476 8439 9714 11252 16878 19428 33756 46951 93902 140853 157043 187804 281706 314086 471129 563412 628172 942258 1884516 4554247 9108494 13662741 18216988 27325482 54650964