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249989768 = 2372637729
BaseRepresentation
bin11101110011010…
…00101010001000
3122102101210111022
432321220222020
51002444133033
640450052012
76123610100
oct1671505210
9572353438
10249989768
11119127016
126b87a008
133ca3ab52
14252b6200
1516e31098
hexee68a88

249989768 has 24 divisors (see below), whose sum is σ = 545259150. Its totient is φ = 107138304.

The previous prime is 249989767. The next prime is 249989819. The reversal of 249989768 is 867989942.

It can be written as a sum of positive squares in only one way, i.e., 248945284 + 1044484 = 15778^2 + 1022^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 249989768.

It is not an unprimeable number, because it can be changed into a prime (249989767) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 318473 + ... + 319256.

Almost surely, 2249989768 is an apocalyptic number.

249989768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249989768 is an abundant number, since it is smaller than the sum of its proper divisors (295269382).

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

249989768 is a wasteful number, since it uses less digits than its factorization.

249989768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637749 (or 637738 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 62.

The square root of 249989768 is about 15811.0647332809. The cubic root of 249989768 is about 629.9519304887.

The spelling of 249989768 in words is "two hundred forty-nine million, nine hundred eighty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 637729 1275458 2550916 4464103 5101832 8928206 17856412 31248721 35712824 62497442 124994884 249989768