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52073280 = 263457241
BaseRepresentation
bin1100011010100…
…1001101000000
310121222121010000
43012221031000
5101312321110
65100040000
71201421100
oct306511500
9117877100
1052073280
1127437476
1215533000
13aa32cbc
146cb7200
1548891c0
hex31a9340

52073280 has 420 divisors, whose sum is σ = 220731588. Its totient is φ = 11612160.

The previous prime is 52073279. The next prime is 52073303. The reversal of 52073280 is 8237025.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 42928704 = 3024^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270060 + ... + 1270100.

Almost surely, 252073280 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 52073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110365794).

52073280 is an abundant number, since it is smaller than the sum of its proper divisors (168658308).

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

52073280 is a wasteful number, since it uses less digits than its factorization.

52073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52073280 is about 7216.1818158913. The cubic root of 52073280 is about 373.4263657039.

The spelling of 52073280 in words is "fifty-two million, seventy-three thousand, two hundred eighty".