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53926016 = 27537949
BaseRepresentation
bin1100110110110…
…1100010000000
310202110201120212
43031231202000
5102301113031
65203453252
71223235464
oct315554200
9122421525
1053926016
1128492461
1216087228
13b2313b1
14723a4a4
154b0312b
hex336d880

53926016 has 32 divisors (see below), whose sum is σ = 109471500. Its totient is φ = 26450944.

The previous prime is 53925979. The next prime is 53926087. The reversal of 53926016 is 61062935.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53348416 + 577600 = 7304^2 + 760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2810 + ... + 10758.

Almost surely, 253926016 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 53926016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54735750).

53926016 is an abundant number, since it is smaller than the sum of its proper divisors (55545484).

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

53926016 is an equidigital number, since it uses as much as digits as its factorization.

53926016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 53926016 is about 7343.4335293512. The cubic root of 53926016 is about 377.8036175584.

The spelling of 53926016 in words is "fifty-three million, nine hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 7949 15898 31796 63592 127184 254368 421297 508736 842594 1017472 1685188 3370376 6740752 13481504 26963008 53926016