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249349240 = 23572127219
BaseRepresentation
bin11101101110011…
…00010001111000
3122101012020212001
432313030101320
51002313133430
640424230344
76115301500
oct1667142170
9571166761
10249349240
11118829858
126b60b3b4
133c87543a
142518aa00
1516d563ca
hexedcc478

249349240 has 48 divisors (see below), whose sum is σ = 652638600. Its totient is φ = 85490496.

The previous prime is 249349207. The next prime is 249349291. The reversal of 249349240 is 42943942.

249349240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249349240.

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, 61650 + ... + 65569.

Almost surely, 2249349240 is an apocalyptic number.

249349240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249349240 is an abundant number, since it is smaller than the sum of its proper divisors (403289360).

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

249349240 is a wasteful number, since it uses less digits than its factorization.

249349240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127244 (or 127233 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 249349240 is about 15790.7960533977. The cubic root of 249349240 is about 629.4134458346.

The spelling of 249349240 in words is "two hundred forty-nine million, three hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 127219 254438 508876 636095 890533 1017752 1272190 1781066 2544380 3562132 4452665 5088760 6233731 7124264 8905330 12467462 17810660 24934924 31168655 35621320 49869848 62337310 124674620 249349240