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52875648 = 273277983
BaseRepresentation
bin1100100110110…
…1000110000000
310200111100202100
43021231012000
5102014010043
65125150400
71211302260
oct311550600
9120440670
1052875648
1127935291
121585b400
13ac54287
1470457a0
154996cd3
hex326d180

52875648 has 192 divisors, whose sum is σ = 178214400. Its totient is φ = 14736384.

The previous prime is 52875629. The next prime is 52875649. The reversal of 52875648 is 84657825.

52875648 is a `hidden beast` number, since 5 + 2 + 87 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52875649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637015 + ... + 637097.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 252875648 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 52875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

52875648 is an abundant number, since it is smaller than the sum of its proper divisors (125338752).

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

52875648 is a wasteful number, since it uses less digits than its factorization.

52875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 52875648 is about 7271.5643433858. The cubic root of 52875648 is about 375.3345707443.

It can be divided in two parts, 528 and 75648, that added together give a square (76176 = 2762).

The spelling of 52875648 in words is "fifty-two million, eight hundred seventy-five thousand, six hundred forty-eight".