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252264416 = 2547167729
BaseRepresentation
bin11110000100100…
…11111111100000
3122120200100201112
433002103333200
51004034430131
641010522452
76152132525
oct1702237740
9576610645
10252264416
1111a43aa98
1270596428
13403562b1
142570914c
151723002b
hexf093fe0

252264416 has 24 divisors (see below), whose sum is σ = 507215520. Its totient is φ = 123447808.

The previous prime is 252264413. The next prime is 252264427. The reversal of 252264416 is 614462252.

252264416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252264413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82361 + ... + 85368.

It is an arithmetic number, because the mean of its divisors is an integer number (21133980).

Almost surely, 2252264416 is an apocalyptic number.

It is an amenable number.

252264416 is an abundant number, since it is smaller than the sum of its proper divisors (254951104).

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

252264416 is a wasteful number, since it uses less digits than its factorization.

252264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167786 (or 167778 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 252264416 is about 15882.8340040435. The cubic root of 252264416 is about 631.8568013972.

The spelling of 252264416 in words is "two hundred fifty-two million, two hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 167729 335458 670916 1341832 2683664 5367328 7883263 15766526 31533052 63066104 126132208 252264416