Search a number
-
+
252252624 = 24313404251
BaseRepresentation
bin11110000100100…
…01000111010000
3122120122202112210
433002101013100
51004034040444
641010352120
76152053251
oct1702210720
9576582483
10252252624
1111a432148
127058b640
1340350b10
1425704b28
151722b7b9
hexf0911d0

252252624 has 40 divisors (see below), whose sum is σ = 701781472. Its totient is φ = 77616000.

The previous prime is 252252601. The next prime is 252252631. The reversal of 252252624 is 426252252.

It is a junction number, because it is equal to n+sod(n) for n = 252252591 and 252252600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201502 + ... + 202749.

Almost surely, 2252252624 is an apocalyptic number.

252252624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252252624 is an abundant number, since it is smaller than the sum of its proper divisors (449528848).

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

252252624 is a wasteful number, since it uses less digits than its factorization.

252252624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404275 (or 404269 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 252252624 is about 15882.4627813195. The cubic root of 252252624 is about 631.8469559454.

The spelling of 252252624 in words is "two hundred fifty-two million, two hundred fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 404251 808502 1212753 1617004 2425506 3234008 4851012 5255263 6468016 9702024 10510526 15765789 19404048 21021052 31531578 42042104 63063156 84084208 126126312 252252624