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249116334 = 231719191673
BaseRepresentation
bin11101101100100…
…11011010101110
3122100202102100220
432312103122232
51002233210314
640415232210
76113311455
oct1666233256
9570672326
10249116334
1111868a875
126b518666
133c7c341c
1425129b9c
1516d0c3a9
hexed936ae

249116334 has 64 divisors (see below), whose sum is σ = 559042560. Its totient is φ = 73543680.

The previous prime is 249116333. The next prime is 249116347. The reversal of 249116334 is 433611942.

It is a junction number, because it is equal to n+sod(n) for n = 249116295 and 249116304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249116333) 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 31 ways as a sum of consecutive naturals, for example, 369822 + ... + 370494.

It is an arithmetic number, because the mean of its divisors is an integer number (8735040).

Almost surely, 2249116334 is an apocalyptic number.

249116334 is an abundant number, since it is smaller than the sum of its proper divisors (309926226).

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

249116334 is a wasteful number, since it uses less digits than its factorization.

249116334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its digits is 15552, while the sum is 33.

The square root of 249116334 is about 15783.4195914574. The cubic root of 249116334 is about 629.2174157818.

The spelling of 249116334 in words is "two hundred forty-nine million, one hundred sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 191 323 382 573 646 673 969 1146 1346 1938 2019 3247 3629 4038 6494 7258 9741 10887 11441 12787 19482 21774 22882 25574 34323 38361 61693 68646 76722 123386 128543 185079 217379 257086 370158 385629 434758 652137 771258 1304274 2185231 2442317 4370462 4884634 6555693 7326951 13111386 14653902 41519389 83038778 124558167 249116334