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53809920 = 28355173
BaseRepresentation
bin1100110101000…
…1001100000000
310202020211100000
43031101030000
5102233404140
65201200000
71222243143
oct315211400
9122224300
1053809920
112841320a
1216030000
13b1c05b8
14720a05a
154acda30
hex3351300

53809920 has 216 divisors, whose sum is σ = 194188176. Its totient is φ = 14266368.

The previous prime is 53809909. The next prime is 53809927. The reversal of 53809920 is 2990835.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53809927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310954 + ... + 311126.

Almost surely, 253809920 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 53809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97094088).

53809920 is an abundant number, since it is smaller than the sum of its proper divisors (140378256).

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

53809920 is an equidigital number, since it uses as much as digits as its factorization.

53809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 53809920 is about 7335.5245211232. The cubic root of 53809920 is about 377.5323013747.

The spelling of 53809920 in words is "fifty-three million, eight hundred nine thousand, nine hundred twenty".