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249085496 = 2311173141131
BaseRepresentation
bin11101101100010…
…11111000111000
3122100200212001202
432312023320320
51002231213441
640414433332
76113122532
oct1666137070
9570625052
10249085496
11118669690
126b502848
133c7b238a
142511c852
1516d0319b
hexed8be38

249085496 has 128 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 99840000.

The previous prime is 249085489. The next prime is 249085519. The reversal of 249085496 is 694580942.

It is a self number, because there is not a number n which added to its sum of digits gives 249085496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901351 + ... + 1901481.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2249085496 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 249085496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

249085496 is an abundant number, since it is smaller than the sum of its proper divisors (325716424).

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

249085496 is a wasteful number, since it uses less digits than its factorization.

249085496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 249085496 is about 15782.4426499829. The cubic root of 249085496 is about 629.1914511958.

The spelling of 249085496 in words is "two hundred forty-nine million, eighty-five thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 17 22 31 34 41 44 62 68 82 88 124 131 136 164 187 248 262 328 341 374 451 524 527 682 697 748 902 1048 1054 1271 1364 1394 1441 1496 1804 2108 2227 2542 2728 2788 2882 3608 4061 4216 4454 5084 5371 5576 5764 5797 7667 8122 8908 10168 10742 11528 11594 13981 15334 16244 17816 21484 21607 23188 24497 27962 30668 32488 42968 43214 44671 46376 48994 55924 59081 61336 69037 86428 89342 91307 97988 111848 118162 138074 166501 172856 178684 182614 195976 236324 237677 276148 333002 357368 365228 472648 475354 552296 666004 730456 759407 950708 1004377 1332008 1518814 1831511 1901416 2008754 2830517 3037628 3663022 4017508 5661034 6075256 7326044 8035016 11322068 14652088 22644136 31135687 62271374 124542748 249085496