Search a number
-
+
252262026 = 2341739001
BaseRepresentation
bin11110000100100…
…11011010001010
3122120200020110000
433002103122022
51004034341101
641010503430
76152122542
oct1702233212
9576606400
10252262026
1111a439215
1270594b76
1340355193
1425708322
151722e486
hexf09368a

252262026 has 40 divisors (see below), whose sum is σ = 568584324. Its totient is φ = 83592000.

The previous prime is 252262009. The next prime is 252262061. The reversal of 252262026 is 620262252.

It can be written as a sum of positive squares in 2 ways, for example, as 251190801 + 1071225 = 15849^2 + 1035^2 .

It is a super-2 number, since 2×2522620262 = 127272259523249352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23526 + ... + 32526.

Almost surely, 2252262026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252262026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284292162).

252262026 is an abundant number, since it is smaller than the sum of its proper divisors (316322298).

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

252262026 is a wasteful number, since it uses less digits than its factorization.

252262026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252262026 is about 15882.7587654034. The cubic root of 252262026 is about 631.8548059480.

The spelling of 252262026 in words is "two hundred fifty-two million, two hundred sixty-two thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 519 1038 1557 3114 4671 9001 9342 14013 18002 27003 28026 54006 81009 162018 243027 486054 729081 1458162 1557173 3114346 4671519 9343038 14014557 28029114 42043671 84087342 126131013 252262026