Search a number
-
+
249021252 = 223231721821
BaseRepresentation
bin11101101011111…
…00001101000100
3122100120120221100
432311330031010
51002222140002
640413220100
76112434324
oct1665741504
9570516840
10249021252
11118625397
126b491630
133c78c06c
1425103284
1516cde11c
hexed7c344

249021252 has 36 divisors (see below), whose sum is σ = 631485036. Its totient is φ = 82741440.

The previous prime is 249021247. The next prime is 249021263. The reversal of 249021252 is 252120942.

It is a happy number.

249021252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 178863876 = 8376^2 + 13374^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502 + ... + 22322.

It is an arithmetic number, because the mean of its divisors is an integer number (17541251).

Almost surely, 2249021252 is an apocalyptic number.

It is an amenable number.

249021252 is an abundant number, since it is smaller than the sum of its proper divisors (382463784).

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

249021252 is a wasteful number, since it uses less digits than its factorization.

249021252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22148 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 249021252 is about 15780.4072190802. The cubic root of 249021252 is about 629.1373529686.

The spelling of 249021252 in words is "two hundred forty-nine million, twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 21821 43642 65463 87284 130926 196389 261852 392778 785556 6917257 13834514 20751771 27669028 41503542 62255313 83007084 124510626 249021252