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913506768 = 243316312973
BaseRepresentation
bin110110011100110…
…000000111010000
32100122220221201000
4312130300013100
53332324204033
6230351342000
731431452016
oct6634600720
92318827630
10913506768
11429718179
12215b21900
13117345465
14894748b6
15552e8a13
hex367301d0

913506768 has 80 divisors (see below), whose sum is σ = 2638392640. Its totient is φ = 302610816.

The previous prime is 913506739. The next prime is 913506787. The reversal of 913506768 is 867605319.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63930 + ... + 76902.

It is an arithmetic number, because the mean of its divisors is an integer number (32979908).

Almost surely, 2913506768 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 913506768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319196320).

913506768 is an abundant number, since it is smaller than the sum of its proper divisors (1724885872).

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

913506768 is a wasteful number, since it uses less digits than its factorization.

913506768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13153 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 913506768 is about 30224.2744826075. The cubic root of 913506768 is about 970.2952896992.

The spelling of 913506768 in words is "nine hundred thirteen million, five hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1304 1467 1956 2608 2934 3912 4401 5868 7824 8802 11736 12973 17604 23472 25946 35208 38919 51892 70416 77838 103784 116757 155676 207568 233514 311352 350271 467028 622704 700542 934056 1401084 1868112 2114599 2802168 4229198 5604336 6343797 8458396 12687594 16916792 19031391 25375188 33833584 38062782 50750376 57094173 76125564 101500752 114188346 152251128 228376692 304502256 456753384 913506768