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52596720 = 243251129229
BaseRepresentation
bin1100100010100…
…0111111110000
310122222012010200
43020220333300
5101431043340
65115155200
71206031131
oct310507760
9118865120
1052596720
1127764770
1215745b00
13ab87327
146db1c88
15493e330
hex3228ff0

52596720 has 240 divisors, whose sum is σ = 200210400. Its totient is φ = 12257280.

The previous prime is 52596707. The next prime is 52596779. The reversal of 52596720 is 2769525.

52596720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 229566 + ... + 229794.

It is an arithmetic number, because the mean of its divisors is an integer number (834210).

Almost surely, 252596720 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 52596720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100105200).

52596720 is an abundant number, since it is smaller than the sum of its proper divisors (147613680).

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

52596720 is a wasteful number, since it uses less digits than its factorization.

52596720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 52596720 is about 7252.3596160146. The cubic root of 52596720 is about 374.6734223413.

The spelling of 52596720 in words is "fifty-two million, five hundred ninety-six thousand, seven hundred twenty".