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52386048 = 2833111353
BaseRepresentation
bin1100011111010…
…1100100000000
310122120111011000
43013311210000
5101402323143
65110452000
71204163001
oct307654400
9118514130
1052386048
1127630460
1215664000
13ab12480
146d591a8
1548ebbd3
hex31f5900

52386048 has 288 divisors, whose sum is σ = 185431680. Its totient is φ = 14376960.

The previous prime is 52386017. The next prime is 52386049. The reversal of 52386048 is 84068325.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (52386049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 988390 + ... + 988442.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 252386048 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 52386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

52386048 is an abundant number, since it is smaller than the sum of its proper divisors (133045632).

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

52386048 is a wasteful number, since it uses less digits than its factorization.

52386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52386048 is about 7237.8206664714. The cubic root of 52386048 is about 374.1725113766.

The spelling of 52386048 in words is "fifty-two million, three hundred eighty-six thousand, forty-eight".