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252702112 = 25131095573
BaseRepresentation
bin11110000111111…
…10110110100000
3122121111121010111
433003332312200
51004142431422
641024141104
76155634565
oct1703766640
9577447114
10252702112
1111a709923
1270767794
134047a5a0
14257c086c
15172b9a77
hexf0feda0

252702112 has 48 divisors (see below), whose sum is σ = 540789480. Its totient is φ = 115540992.

The previous prime is 252702067. The next prime is 252702179. The reversal of 252702112 is 211207252.

It can be written as a sum of positive squares in 4 ways, for example, as 128958736 + 123743376 = 11356^2 + 11124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42558 + ... + 48130.

Almost surely, 2252702112 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 252702112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270394740).

252702112 is an abundant number, since it is smaller than the sum of its proper divisors (288087368).

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

252702112 is a wasteful number, since it uses less digits than its factorization.

252702112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 252702112 is about 15896.6069335566. The cubic root of 252702112 is about 632.2220284899. Note that the first 3 decimals are identical.

Adding to 252702112 its reverse (211207252), we get a palindrome (463909364).

The spelling of 252702112 in words is "two hundred fifty-two million, seven hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1417 1744 2834 3488 5573 5668 11146 11336 22292 22672 44584 45344 72449 89168 144898 178336 289796 579592 607457 1159184 1214914 2318368 2429828 4859656 7896941 9719312 15793882 19438624 31587764 63175528 126351056 252702112