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249349940 = 22579771823
BaseRepresentation
bin11101101110011…
…00011100110100
3122101012021210222
432313030130310
51002313144230
640424233512
76115303520
oct1667143464
9571167728
10249349940
1111882a334
126b60b898
133c875858
142518ad80
1516d566e5
hexedcc734

249349940 has 48 divisors (see below), whose sum is σ = 599380992. Its totient is φ = 85357056.

The previous prime is 249349921. The next prime is 249349949. The reversal of 249349940 is 49943942.

It is a junction number, because it is equal to n+sod(n) for n = 249349891 and 249349900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249349949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135869 + ... + 137691.

It is an arithmetic number, because the mean of its divisors is an integer number (12487104).

Almost surely, 2249349940 is an apocalyptic number.

249349940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249349940 is an abundant number, since it is smaller than the sum of its proper divisors (350031052).

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

249349940 is a wasteful number, since it uses less digits than its factorization.

249349940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 249349940 is about 15790.8182181925. The cubic root of 249349940 is about 629.4140348198.

The spelling of 249349940 in words is "two hundred forty-nine million, three hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 977 1823 1954 3646 3908 4885 6839 7292 9115 9770 12761 13678 18230 19540 25522 27356 34195 36460 51044 63805 68390 127610 136780 255220 1781071 3562142 7124284 8905355 12467497 17810710 24934994 35621420 49869988 62337485 124674970 249349940