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249849628 = 22722335471
BaseRepresentation
bin11101110010001…
…10011100011100
3122102010200020221
432321012130130
51002430142003
640443051124
76122454400
oct1671063434
9572120227
10249849628
111190407a6
126b810aa4
133c9bc122
142527b100
1516e047bd
hexee4671c

249849628 has 36 divisors (see below), whose sum is σ = 510898752. Its totient is φ = 106599360.

The previous prime is 249849623. The next prime is 249849631. The reversal of 249849628 is 826948942.

It is a super-2 number, since 2×2498496282 = 124849673223476768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249849623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42933 + ... + 48403.

It is an arithmetic number, because the mean of its divisors is an integer number (14191632).

Almost surely, 2249849628 is an apocalyptic number.

249849628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249849628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255449376).

249849628 is an abundant number, since it is smaller than the sum of its proper divisors (261049124).

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

249849628 is a wasteful number, since it uses less digits than its factorization.

249849628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5713 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 249849628 is about 15806.6324054177. The cubic root of 249849628 is about 629.8341950500.

The spelling of 249849628 in words is "two hundred forty-nine million, eight hundred forty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 932 1631 3262 5471 6524 10942 11417 21884 22834 38297 45668 76594 153188 268079 536158 1072316 1274743 2549486 5098972 8923201 17846402 35692804 62462407 124924814 249849628