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252335356 = 227133591931
BaseRepresentation
bin11110000101001…
…01010011111100
3122120210222000221
433002211103330
51004044212411
641012231124
76152546410
oct1702452374
9576728027
10252335356
1111a489319
127060b4a4
134037c680
1425726d40
1517246071
hexf0a54fc

252335356 has 48 divisors (see below), whose sum is σ = 545287680. Its totient is φ = 99495360.

The previous prime is 252335311. The next prime is 252335359. The reversal of 252335356 is 653533252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252335359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129711 + ... + 131641.

It is an arithmetic number, because the mean of its divisors is an integer number (11360160).

Almost surely, 2252335356 is an apocalyptic number.

252335356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252335356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272643840).

252335356 is an abundant number, since it is smaller than the sum of its proper divisors (292952324).

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

252335356 is a wasteful number, since it uses less digits than its factorization.

252335356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2312 counting only the distinct ones).

The product of its digits is 81000, while the sum is 34.

The square root of 252335356 is about 15885.0670757161. The cubic root of 252335356 is about 631.9160246006.

The spelling of 252335356 in words is "two hundred fifty-two million, three hundred thirty-five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 359 364 718 1436 1931 2513 3862 4667 5026 7724 9334 10052 13517 18668 25103 27034 32669 50206 54068 65338 100412 130676 175721 351442 693229 702884 1386458 2772916 4852603 9011977 9705206 18023954 19410412 36047908 63083839 126167678 252335356