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52868640 = 253511171931
BaseRepresentation
bin1100100110101…
…1011000100000
310200111000010210
43021223120200
5102013244030
65125054120
71211242656
oct311533040
9120430123
1052868640
112792aaa0
1215857340
13ac51026
147042dd6
154994bb0
hex326b620

52868640 has 384 divisors, whose sum is σ = 209018880. Its totient is φ = 11059200.

The previous prime is 52868633. The next prime is 52868663. The reversal of 52868640 is 4686825.

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 63 ways as a sum of consecutive naturals, for example, 1705425 + ... + 1705455.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 252868640 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 52868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

52868640 is an abundant number, since it is smaller than the sum of its proper divisors (156150240).

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

52868640 is a wasteful number, since it uses less digits than its factorization.

52868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 52868640 is about 7271.0824503646. The cubic root of 52868640 is about 375.3179880578.

The spelling of 52868640 in words is "fifty-two million, eight hundred sixty-eight thousand, six hundred forty".