Search a number
-
+
252969804 = 2235317821
BaseRepresentation
bin11110001010000…
…00001101001100
3122122000012100000
433011000031030
51004230013204
641034004300
76161131203
oct1705001514
9578005300
10252969804
1111a881a5a
1270876690
1340542399
142585023a
151731e039
hexf14034c

252969804 has 72 divisors (see below), whose sum is σ = 666037008. Its totient is φ = 83954880.

The previous prime is 252969803. The next prime is 252969811. The reversal of 252969804 is 408969252.

It is a self number, because there is not a number n which added to its sum of digits gives 252969804.

It is not an unprimeable number, because it can be changed into a prime (252969803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 307714 + ... + 308534.

It is an arithmetic number, because the mean of its divisors is an integer number (9250514).

Almost surely, 2252969804 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 252969804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333018504).

252969804 is an abundant number, since it is smaller than the sum of its proper divisors (413067204).

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

252969804 is a wasteful number, since it uses less digits than its factorization.

252969804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 252969804 is about 15905.0244891355. The cubic root of 252969804 is about 632.4451911867.

The spelling of 252969804 in words is "two hundred fifty-two million, nine hundred sixty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 317 324 486 634 821 951 972 1268 1642 1902 2463 2853 3284 3804 4926 5706 7389 8559 9852 11412 14778 17118 22167 25677 29556 34236 44334 51354 66501 77031 88668 102708 133002 154062 199503 260257 266004 308124 399006 520514 780771 798012 1041028 1561542 2342313 3123084 4684626 7026939 9369252 14053878 21080817 28107756 42161634 63242451 84323268 126484902 252969804