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249423460 = 225111387211
BaseRepresentation
bin11101101110111…
…10011001100100
3122101100000122221
432313132121210
51002323022320
640430002124
76116031046
oct1667363144
9571300587
10249423460
1111887a5a0
126b646344
133c8a0160
14251a9a96
1516d6d3aa
hexedde664

249423460 has 48 divisors (see below), whose sum is σ = 615367872. Its totient is φ = 83721600.

The previous prime is 249423457. The next prime is 249423463. The reversal of 249423460 is 64324942.

249423460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249423457) and next prime (249423463).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (249423463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40746 + ... + 46465.

It is an arithmetic number, because the mean of its divisors is an integer number (12820164).

Almost surely, 2249423460 is an apocalyptic number.

249423460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249423460 is an abundant number, since it is smaller than the sum of its proper divisors (365944412).

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

249423460 is a wasteful number, since it uses less digits than its factorization.

249423460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87244 (or 87242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 249423460 is about 15793.1459817226. The cubic root of 249423460 is about 629.4758889522.

The spelling of 249423460 in words is "two hundred forty-nine million, four hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 87211 174422 348844 436055 872110 959321 1133743 1744220 1918642 2267486 3837284 4534972 4796605 5668715 9593210 11337430 12471173 19186420 22674860 24942346 49884692 62355865 124711730 249423460