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249631044 = 223131984221
BaseRepresentation
bin11101110000100…
…01000101000100
3122101201120102020
432320101011010
51002401143134
640434243140
76120554205
oct1670210504
9571646366
10249631044
11118a01553
126b7264b0
133c9437a0
14252215ac
1516daeb49
hexee11144

249631044 has 48 divisors (see below), whose sum is σ = 660300480. Its totient is φ = 72766080.

The previous prime is 249631033. The next prime is 249631061. The reversal of 249631044 is 440136942.

249631044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 249630996 and 249631014.

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 15 ways as a sum of consecutive naturals, for example, 39147 + ... + 45074.

It is an arithmetic number, because the mean of its divisors is an integer number (13756260).

Almost surely, 2249631044 is an apocalyptic number.

It is an amenable number.

249631044 is an abundant number, since it is smaller than the sum of its proper divisors (410669436).

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

249631044 is a wasteful number, since it uses less digits than its factorization.

249631044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84260 (or 84258 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 249631044 is about 15799.7165797365. The cubic root of 249631044 is about 629.6504687473.

Adding to 249631044 its reverse (440136942), we get a palindrome (689767986).

The spelling of 249631044 in words is "two hundred forty-nine million, six hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 84221 168442 252663 336884 505326 1010652 1094873 1600199 2189746 3200398 3284619 4379492 4800597 6400796 6569238 9601194 13138476 19202388 20802587 41605174 62407761 83210348 124815522 249631044