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249313092 = 223717712459
BaseRepresentation
bin11101101110000…
…11011101000100
3122101010102021020
432313003131010
51002311004332
640423351140
76115061220
oct1667033504
9571112236
10249313092
11118804686
126b5b24b0
133c861b52
142517b780
1516d4a82c
hexedc3744

249313092 has 96 divisors (see below), whose sum is σ = 714147840. Its totient is φ = 66071040.

The previous prime is 249313081. The next prime is 249313093. The reversal of 249313092 is 290313942.

It is not an unprimeable number, because it can be changed into a prime (249313093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100159 + ... + 102617.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2249313092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249313092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357073920).

249313092 is an abundant number, since it is smaller than the sum of its proper divisors (464834748).

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

249313092 is a wasteful number, since it uses less digits than its factorization.

249313092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 249313092 is about 15789.6514211049. The cubic root of 249313092 is about 629.3830291430.

The spelling of 249313092 in words is "two hundred forty-nine million, three hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 71 84 102 119 142 204 213 238 284 357 426 476 497 714 852 994 1207 1428 1491 1988 2414 2459 2982 3621 4828 4918 5964 7242 7377 8449 9836 14484 14754 16898 17213 25347 29508 33796 34426 41803 50694 51639 68852 83606 101388 103278 125409 167212 174589 206556 250818 292621 349178 501636 523767 585242 698356 877863 1047534 1170484 1222123 1755726 2095068 2444246 2968013 3511452 3666369 4888492 5936026 7332738 8904039 11872052 14665476 17808078 20776091 35616156 41552182 62328273 83104364 124656546 249313092