Search a number
-
+
790846368 = 253134314737
BaseRepresentation
bin101111001000110…
…101101110100000
32001010010011021020
4233020311232200
53104424040433
6210250325440
725412040354
oct5710655640
92033104236
10790846368
11376459644
121a0a29880
13c7ac9640
1477065464
1549669cb3
hex2f235ba0

790846368 has 96 divisors (see below), whose sum is σ = 2287809216. Its totient is φ = 237662208.

The previous prime is 790846349. The next prime is 790846373. The reversal of 790846368 is 863648097.

790846368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 790846368.

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, 46296 + ... + 61032.

It is an arithmetic number, because the mean of its divisors is an integer number (23831346).

Almost surely, 2790846368 is an apocalyptic number.

790846368 is a gapful number since it is divisible by the number (78) 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 790846368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143904608).

790846368 is an abundant number, since it is smaller than the sum of its proper divisors (1496962848).

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

790846368 is a wasteful number, since it uses less digits than its factorization.

790846368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 790846368 is about 28121.9908256866. The cubic root of 790846368 is about 924.7635599240.

The spelling of 790846368 in words is "seven hundred ninety million, eight hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 14737 17888 26832 29474 44211 53664 58948 88422 117896 176844 191581 235792 353688 383162 471584 574743 633691 707376 766324 1149486 1267382 1414752 1532648 1901073 2298972 2534764 3065296 3802146 4597944 5069528 6130592 7604292 8237983 9195888 10139056 15208584 16475966 18391776 20278112 24713949 30417168 32951932 49427898 60834336 65903864 98855796 131807728 197711592 263615456 395423184 790846368