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52081920 = 2833511137
BaseRepresentation
bin1100011010101…
…1010100000000
310122000000222000
43012223110000
5101313110140
65100144000
71201455222
oct306532400
9118000860
1052081920
1127442a10
1215538000
13aa36c07
146cba412
15488ba30
hex31ab500

52081920 has 288 divisors, whose sum is σ = 203091840. Its totient is φ = 12533760.

The previous prime is 52081889. The next prime is 52081921. The reversal of 52081920 is 2918025.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52081921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380092 + ... + 380228.

It is an arithmetic number, because the mean of its divisors is an integer number (705180).

Almost surely, 252081920 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 52081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101545920).

52081920 is an abundant number, since it is smaller than the sum of its proper divisors (151009920).

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

52081920 is a wasteful number, since it uses less digits than its factorization.

52081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 52081920 is about 7216.7804456004. The cubic root of 52081920 is about 373.4470175326.

Adding to 52081920 its reverse (2918025), we get a palindrome (54999945).

The spelling of 52081920 in words is "fifty-two million, eighty-one thousand, nine hundred twenty".