Search a number
-
+
268449363 = 33713176427
BaseRepresentation
bin10000000000000…
…011011001010011
3200201010122022000
4100000003121103
51022210334423
642345445043
76436532130
oct2000033123
9621118260
10268449363
11128594a86
1275aa0783
13438020a0
142791d587
151887a843
hex10003653

268449363 has 64 divisors (see below), whose sum is σ = 518353920. Its totient is φ = 133249536.

The previous prime is 268449361. The next prime is 268449403. The reversal of 268449363 is 363944862.

268449363 is a `hidden beast` number, since 26 + 84 + 493 + 63 = 666.

It is not a de Polignac number, because 268449363 - 21 = 268449361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268449361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38556 + ... + 44982.

It is an arithmetic number, because the mean of its divisors is an integer number (8099280).

Almost surely, 2268449363 is an apocalyptic number.

268449363 is a deficient number, since it is larger than the sum of its proper divisors (249904557).

268449363 is a wasteful number, since it uses less digits than its factorization.

268449363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6467 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 268449363 is about 16384.4244024622. The cubic root of 268449363 is about 645.0907173647.

The spelling of 268449363 in words is "two hundred sixty-eight million, four hundred forty-nine thousand, three hundred sixty-three".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 273 351 357 459 663 819 1071 1547 1989 2457 3213 4641 5967 6427 13923 19281 41769 44989 57843 83551 109259 134967 173529 250653 327777 404901 584857 751959 764813 983331 1214703 1420367 1754571 2255877 2294439 2949993 4261101 5263713 6883317 9942569 12783303 15791139 20649951 29827707 38349909 89483121 268449363