Search a number
-
+
252730096 = 2419899341
BaseRepresentation
bin11110001000001…
…01101011110000
3122121120000111221
433010011223300
51004144330341
641024514424
76156112303
oct1704055360
9577500457
10252730096
1111a728953
127077ba14
134048a248
14257cab3a
15172c2ed1
hexf105af0

252730096 has 40 divisors (see below), whose sum is σ = 521283600. Its totient is φ = 118356480.

The previous prime is 252730081. The next prime is 252730123. The reversal of 252730096 is 690037252.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22386 + ... + 31726.

It is an arithmetic number, because the mean of its divisors is an integer number (13032090).

Almost surely, 2252730096 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 252730096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260641800).

252730096 is an abundant number, since it is smaller than the sum of its proper divisors (268553504).

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

252730096 is a wasteful number, since it uses less digits than its factorization.

252730096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 252730096 is about 15897.4870970226. The cubic root of 252730096 is about 632.2453648576.

It can be divided in two parts, 2527 and 30096, that added together give a palindrome (32623).

The spelling of 252730096 in words is "two hundred fifty-two million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 712 1424 1691 3382 6764 9341 13528 18682 27056 37364 74728 149456 177479 354958 709916 831349 1419832 1662698 2839664 3325396 6650792 13301584 15795631 31591262 63182524 126365048 252730096