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249449250 = 23533110729
BaseRepresentation
bin11101101111001…
…00101100100010
3122101101100001010
432313210230202
51002324334000
640430321350
76116166201
oct1667445442
9571340033
10249449250
11118897a06
126b659256
133c8abb0b
14251b5238
1516d75d50
hexede4b22

249449250 has 64 divisors (see below), whose sum is σ = 642769920. Its totient is φ = 64368000.

The previous prime is 249449231. The next prime is 249449251. The reversal of 249449250 is 52944942.

It is a junction number, because it is equal to n+sod(n) for n = 249449199 and 249449208.

It is not an unprimeable number, because it can be changed into a prime (249449251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17886 + ... + 28614.

It is an arithmetic number, because the mean of its divisors is an integer number (10043280).

Almost surely, 2249449250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249449250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321384960).

249449250 is an abundant number, since it is smaller than the sum of its proper divisors (393320670).

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

249449250 is a wasteful number, since it uses less digits than its factorization.

249449250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 249449250 is about 15793.9624540519. The cubic root of 249449250 is about 629.4975838156.

The spelling of 249449250 in words is "two hundred forty-nine million, four hundred forty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 930 1550 2325 3875 4650 7750 10729 11625 21458 23250 32187 53645 64374 107290 160935 268225 321870 332599 536450 665198 804675 997797 1341125 1609350 1662995 1995594 2682250 3325990 4023375 4988985 8046750 8314975 9977970 16629950 24944925 41574875 49889850 83149750 124724625 249449250