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52097760 = 253251121323
BaseRepresentation
bin1100011010111…
…1001011100000
310122000211200200
43012233023200
5101314112020
65100345200
71201552341
oct306571340
9118024620
1052097760
1127453900
1215545200
13aa411a0
146cc20c8
154891590
hex31af2e0

52097760 has 432 divisors, whose sum is σ = 219596832. Its totient is φ = 11151360.

The previous prime is 52097723. The next prime is 52097777. The reversal of 52097760 is 6779025.

52097760 is a `hidden beast` number, since 520 + 9 + 77 + 60 = 666.

52097760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265109 + ... + 2265131.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 252097760 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 52097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

52097760 is an abundant number, since it is smaller than the sum of its proper divisors (167499072).

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

52097760 is a wasteful number, since it uses less digits than its factorization.

52097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 52097760 is about 7217.8778044519. The cubic root of 52097760 is about 373.4848732873.

The spelling of 52097760 in words is "fifty-two million, ninety-seven thousand, seven hundred sixty".