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264563068 = 227111953853
BaseRepresentation
bin11111100010011…
…10100101111100
3200102211012022011
433301032211330
51020212004233
642130301004
76361514620
oct1761164574
9612735264
10264563068
11126380170
1274727764
1342a711c3
14271cb180
151835e0cd
hexfc4e97c

264563068 has 96 divisors (see below), whose sum is σ = 619799040. Its totient is φ = 95696640.

The previous prime is 264563053. The next prime is 264563071. The reversal of 264563068 is 860365462.

It is a happy number.

264563068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264563068.

It is a congruent number.

It is an unprimeable number.

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, 309730 + ... + 310582.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2264563068 is an apocalyptic number.

264563068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264563068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309899520).

264563068 is an abundant number, since it is smaller than the sum of its proper divisors (355235972).

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

264563068 is a wasteful number, since it uses less digits than its factorization.

264563068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 264563068 is about 16265.3948000041. The cubic root of 264563068 is about 641.9626178808.

The spelling of 264563068 in words is "two hundred sixty-four million, five hundred sixty-three thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 53 76 77 106 133 154 209 212 266 308 371 418 532 583 742 836 853 1007 1166 1463 1484 1706 2014 2332 2926 3412 4028 4081 5852 5971 7049 8162 9383 11077 11942 14098 16207 16324 18766 22154 23884 28196 32414 37532 44308 45209 64828 65681 77539 90418 113449 131362 155078 178277 180836 226898 262724 310156 316463 356554 453796 497299 632926 713108 858971 994598 1247939 1265852 1717942 1989196 2495878 3435884 3481093 4991756 6012797 6962186 9448681 12025594 13924372 18897362 24051188 37794724 66140767 132281534 264563068