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52345440 = 253457577
BaseRepresentation
bin1100011110101…
…1101001100000
310122111102110000
43013223221200
5101400023230
65105540000
71203633420
oct307535140
9118442400
1052345440
11276029a4
1215644600
13aac9b44
146d48480
1548deb60
hex31eba60

52345440 has 240 divisors, whose sum is σ = 211492512. Its totient is φ = 11943936.

The previous prime is 52345427. The next prime is 52345457. The reversal of 52345440 is 4454325.

52345440 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 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90432 + ... + 91008.

Almost surely, 252345440 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 52345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105746256).

52345440 is an abundant number, since it is smaller than the sum of its proper divisors (159147072).

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

52345440 is a wasteful number, since it uses less digits than its factorization.

52345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 52345440 is about 7235.0148583123. The cubic root of 52345440 is about 374.0758041700.

Adding to 52345440 its reverse (4454325), we get a palindrome (56799765).

The spelling of 52345440 in words is "fifty-two million, three hundred forty-five thousand, four hundred forty".