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249341924 = 22133171669
BaseRepresentation
bin11101101110010…
…10011111100100
3122101011212211002
432313022133210
51002312420144
640424132432
76115241246
oct1667123744
9571155732
10249341924
11118824307
126b607118
133c872000
1425188096
1516d5414e
hexedca7e4

249341924 has 48 divisors (see below), whose sum is σ = 500799600. Its totient is φ = 108246528.

The previous prime is 249341899. The next prime is 249341977. The reversal of 249341924 is 429143942.

It can be written as a sum of positive squares in 8 ways, for example, as 131836324 + 117505600 = 11482^2 + 10840^2 .

It is an unprimeable number.

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, 148562 + ... + 150230.

It is an arithmetic number, because the mean of its divisors is an integer number (10433325).

Almost surely, 2249341924 is an apocalyptic number.

It is an amenable number.

249341924 is an abundant number, since it is smaller than the sum of its proper divisors (251457676).

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

249341924 is a wasteful number, since it uses less digits than its factorization.

249341924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1701 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 249341924 is about 15790.5643977662. The cubic root of 249341924 is about 629.4072900324.

The spelling of 249341924 in words is "two hundred forty-nine million, three hundred forty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 1669 2197 2873 3338 4394 5746 6676 8788 11492 21697 28373 37349 43394 56746 74698 86788 113492 149396 282061 368849 564122 737698 1128244 1475396 3666793 4795037 7333586 9590074 14667172 19180148 62335481 124670962 249341924