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249628248 = 233213725307
BaseRepresentation
bin11101110000100…
…00011001011000
3122101201102120200
432320100121120
51002401100443
640434222200
76120543102
oct1670203130
9571642520
10249628248
111189aa441
126b724960
133c94242c
1425220572
1516daddd3
hexee10658

249628248 has 48 divisors (see below), whose sum is σ = 681038280. Its totient is φ = 82598784.

The previous prime is 249628199. The next prime is 249628271. The reversal of 249628248 is 842826942.

249628248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2790 + ... + 22517.

Almost surely, 2249628248 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 249628248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340519140).

249628248 is an abundant number, since it is smaller than the sum of its proper divisors (431410032).

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

249628248 is a wasteful number, since it uses less digits than its factorization.

249628248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25456 (or 25449 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 249628248 is about 15799.6280968889. The cubic root of 249628248 is about 629.6481179322.

The spelling of 249628248 in words is "two hundred forty-nine million, six hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 25307 50614 75921 101228 151842 202456 227763 303684 455526 607368 911052 1822104 3467059 6934118 10401177 13868236 20802354 27736472 31203531 41604708 62407062 83209416 124814124 249628248