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252048784 = 24132115743
BaseRepresentation
bin11110000010111…
…11010110010000
3122120021101221011
433001133112100
51004011030114
641002140304
76150244051
oct1701372620
9576241834
10252048784
1111a302a89
12704b1694
13402ac0c0
1425690728
15171db1c4
hexf05f590

252048784 has 40 divisors (see below), whose sum is σ = 528493952. Its totient is φ = 115758720.

The previous prime is 252048781. The next prime is 252048787. The reversal of 252048784 is 487840252.

252048784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252048781) and next prime (252048787).

It is not an unprimeable number, because it can be changed into a prime (252048781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41017 + ... + 46759.

Almost surely, 2252048784 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 252048784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264246976).

252048784 is an abundant number, since it is smaller than the sum of its proper divisors (276445168).

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

252048784 is a wasteful number, since it uses less digits than its factorization.

252048784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 252048784 is about 15876.0443436015. The cubic root of 252048784 is about 631.6767160361.

The spelling of 252048784 in words is "two hundred fifty-two million, forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 422 844 1688 2743 3376 5486 5743 10972 11486 21944 22972 43888 45944 74659 91888 149318 298636 597272 1194544 1211773 2423546 4847092 9694184 15753049 19388368 31506098 63012196 126024392 252048784