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264415116 = 223713124029
BaseRepresentation
bin11111100001010…
…10011110001100
3200102112200100110
433300222132030
51020142240431
642123200020
76360330360
oct1760523614
9612480313
10264415116
11126289a99
1274676010
1342a1ba64
142718d2a0
1518330346
hexfc2a78c

264415116 has 48 divisors (see below), whose sum is σ = 710519040. Its totient is φ = 74967360.

The previous prime is 264415051. The next prime is 264415121. The reversal of 264415116 is 611514462.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011 + ... + 23018.

It is an arithmetic number, because the mean of its divisors is an integer number (14802480).

Almost surely, 2264415116 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 264415116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355259520).

264415116 is an abundant number, since it is smaller than the sum of its proper divisors (446103924).

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

264415116 is a wasteful number, since it uses less digits than its factorization.

264415116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24174 (or 24172 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 264415116 is about 16260.8461034474. The cubic root of 264415116 is about 641.8429269949.

Adding to 264415116 its reverse (611514462), we get a palindrome (875929578).

The spelling of 264415116 in words is "two hundred sixty-four million, four hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 24029 48058 72087 96116 144174 168203 288348 336406 504609 672812 1009218 2018436 3147799 6295598 9443397 12591196 18886794 22034593 37773588 44069186 66103779 88138372 132207558 264415116