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53926912 = 210134051
BaseRepresentation
bin1100110110110…
…1110000000000
310202110202211001
43031231300000
5102301130122
65203501344
71223241214
oct315556000
9122422731
1053926912
11284930a6
1216087854
13b231920
14723a944
154b03527
hex336dc00

53926912 has 44 divisors (see below), whose sum is σ = 116122216. Its totient is φ = 24883200.

The previous prime is 53926909. The next prime is 53926913. The reversal of 53926912 is 21962935.

It is a super-2 number, since 2×539269122 = 5816223675711488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53926913) 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 3 ways as a sum of consecutive naturals, for example, 11287 + ... + 15337.

Almost surely, 253926912 is an apocalyptic number.

53926912 is a gapful number since it is divisible by the number (52) 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 53926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58061108).

53926912 is an abundant number, since it is smaller than the sum of its proper divisors (62195304).

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

53926912 is a wasteful number, since it uses less digits than its factorization.

53926912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4066 counting only the distinct ones).

The product of its digits is 29160, while the sum is 37.

The square root of 53926912 is about 7343.4945359822. The cubic root of 53926912 is about 377.8057099942.

The spelling of 53926912 in words is "fifty-three million, nine hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 4051 6656 8102 13312 16204 32408 52663 64816 105326 129632 210652 259264 421304 518528 842608 1037056 1685216 2074112 3370432 4148224 6740864 13481728 26963456 53926912