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249042520 = 23517366239
BaseRepresentation
bin11101101100000…
…01011001011000
3122100121200010001
432312001121120
51002223330040
640413502344
76112553326
oct1666013130
9570550101
10249042520
1111863a371
126b4a19b4
133c79894c
142510ad16
1516ce559a
hexed81658

249042520 has 32 divisors (see below), whose sum is σ = 593308800. Its totient is φ = 93756928.

The previous prime is 249042473. The next prime is 249042527. The reversal of 249042520 is 25240942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249042527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182440 + ... + 183799.

It is an arithmetic number, because the mean of its divisors is an integer number (18540900).

Almost surely, 2249042520 is an apocalyptic number.

249042520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249042520 is an abundant number, since it is smaller than the sum of its proper divisors (344266280).

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

249042520 is a wasteful number, since it uses less digits than its factorization.

249042520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366267 (or 366263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 249042520 is about 15781.0810783039. The cubic root of 249042520 is about 629.1552632369.

The spelling of 249042520 in words is "two hundred forty-nine million, forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 366239 732478 1464956 1831195 2929912 3662390 6226063 7324780 12452126 14649560 24904252 31130315 49808504 62260630 124521260 249042520