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249668364 = 2231161101307
BaseRepresentation
bin11101110000110…
…10001100001100
3122101210110121110
432320122030030
51002403341424
640435132020
76121101051
oct1670321414
9571713543
10249668364
11118a275a0
126b744010
133c95777a
1425231028
1516dbac29
hexee1a30c

249668364 has 96 divisors (see below), whose sum is σ = 654458112. Its totient is φ = 73440000.

The previous prime is 249668357. The next prime is 249668413. The reversal of 249668364 is 463866942.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 813099 + ... + 813405.

It is an arithmetic number, because the mean of its divisors is an integer number (6817272).

Almost surely, 2249668364 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 249668364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327229056).

249668364 is an abundant number, since it is smaller than the sum of its proper divisors (404789748).

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

249668364 is a wasteful number, since it uses less digits than its factorization.

249668364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 249668364 is about 15800.8975694421. The cubic root of 249668364 is about 629.6818448991.

The spelling of 249668364 in words is "two hundred forty-nine million, six hundred sixty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 101 122 132 183 202 244 303 307 366 404 606 614 671 732 921 1111 1212 1228 1342 1842 2013 2222 2684 3333 3377 3684 4026 4444 6161 6666 6754 8052 10131 12322 13332 13508 18483 18727 20262 24644 31007 36966 37454 40524 56181 62014 67771 73932 74908 93021 112362 124028 135542 186042 203313 205997 224724 271084 341077 372084 406626 411994 617991 682154 813252 823988 1023231 1235982 1364308 1891427 2046462 2471964 3782854 4092924 5674281 7565708 11348562 20805697 22697124 41611394 62417091 83222788 124834182 249668364