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53666016 = 2532392339
BaseRepresentation
bin1100110010111…
…0000011100000
310201222111221020
43030232003200
5102214303031
65154125440
71221103455
oct314560340
9121874836
1053666016
1128325088
1215b80880
13b16cc51
1471ad82c
154aa1096
hex332e0e0

53666016 has 48 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 17806208.

The previous prime is 53666003. The next prime is 53666017. The reversal of 53666016 is 61066635.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53666017) 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 7 ways as a sum of consecutive naturals, for example, 21775 + ... + 24113.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 253666016 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 53666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

53666016 is an abundant number, since it is smaller than the sum of its proper divisors (87857184).

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

53666016 is a wasteful number, since it uses less digits than its factorization.

53666016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 53666016 is about 7325.7092489397. The cubic root of 53666016 is about 377.1954557362.

The spelling of 53666016 in words is "fifty-three million, six hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2339 2868 3824 4678 5736 7017 7648 9356 11472 14034 18712 22944 28068 37424 56136 74848 112272 224544 559021 1118042 1677063 2236084 3354126 4472168 6708252 8944336 13416504 17888672 26833008 53666016