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748656064 = 261317411291
BaseRepresentation
bin101100100111111…
…001010111000000
31221011201200001101
4230213321113000
53013123443224
6202142144144
724360320512
oct5447712700
91834650041
10748656064
11354662422
1218a882054
13bc146b70
1471601bb2
1545ad4044
hex2c9f95c0

748656064 has 112 divisors (see below), whose sum is σ = 1736665056. Its totient is φ = 317030400.

The previous prime is 748656059. The next prime is 748656079. The reversal of 748656064 is 460656847.

748656064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 579259 + ... + 580549.

It is an arithmetic number, because the mean of its divisors is an integer number (15505938).

Almost surely, 2748656064 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 748656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868332528).

748656064 is an abundant number, since it is smaller than the sum of its proper divisors (988008992).

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

748656064 is a wasteful number, since it uses less digits than its factorization.

748656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The square root of 748656064 is about 27361.5800713336. The cubic root of 748656064 is about 908.0172844362.

The spelling of 748656064 in words is "seven hundred forty-eight million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 136 164 208 221 272 328 416 442 533 544 656 697 832 884 1066 1088 1291 1312 1394 1768 2132 2582 2624 2788 3536 4264 5164 5576 7072 8528 9061 10328 11152 14144 16783 17056 18122 20656 21947 22304 33566 34112 36244 41312 43894 44608 52931 67132 72488 82624 87788 105862 134264 144976 175576 211724 268528 285311 289952 351152 423448 537056 570622 579904 688103 702304 846896 899827 1074112 1141244 1376206 1404608 1693792 1799654 2282488 2752412 3387584 3599308 4564976 5504824 7198616 9129952 11009648 11697751 14397232 18259904 22019296 23395502 28794464 44038592 46791004 57588928 93582008 187164016 374328032 748656064