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53930016 = 2533737241
BaseRepresentation
bin1100110110111…
…0100000100000
310202110221002000
43031232200200
5102301230031
65203524000
71223253240
oct315564040
9122427060
1053930016
1128495468
1216089600
13b23316a
14723bb20
154b043e6
hex336e820

53930016 has 192 divisors, whose sum is σ = 185391360. Its totient is φ = 14929920.

The previous prime is 53930011. The next prime is 53930027. The reversal of 53930016 is 61003935.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53930011) 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 31 ways as a sum of consecutive naturals, for example, 223656 + ... + 223896.

It is an arithmetic number, because the mean of its divisors is an integer number (965580).

Almost surely, 253930016 is an apocalyptic number.

53930016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92695680).

53930016 is an abundant number, since it is smaller than the sum of its proper divisors (131461344).

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

53930016 is a wasteful number, since it uses less digits than its factorization.

53930016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 53930016 is about 7343.7058764632. The cubic root of 53930016 is about 377.8129586101.

The spelling of 53930016 in words is "fifty-three million, nine hundred thirty thousand, sixteen".