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52319520 = 2534511367
BaseRepresentation
bin1100011110010…
…1010100100000
310122110002220000
43013211110200
5101343211040
65105220000
71203465021
oct307452440
9118402800
1052319520
1127595480
1215631600
13aabb0c6
146d3cc48
1548d7130
hex31e5520

52319520 has 240 divisors, whose sum is σ = 201979008. Its totient is φ = 12648960.

The previous prime is 52319513. The next prime is 52319539. The reversal of 52319520 is 2591325.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142377 + ... + 142743.

Almost surely, 252319520 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 52319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100989504).

52319520 is an abundant number, since it is smaller than the sum of its proper divisors (149659488).

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

52319520 is a wasteful number, since it uses less digits than its factorization.

52319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52319520 is about 7233.2233478581. The cubic root of 52319520 is about 374.0140500122.

The spelling of 52319520 in words is "fifty-two million, three hundred nineteen thousand, five hundred twenty".