Search a number
-
+
790109856 = 25334719457
BaseRepresentation
bin101111000110000…
…001111010100000
32001001201201222000
4233012001322200
53104232003411
6210222444000
725402552164
oct5706017240
92031651860
10790109856
11375aa6258
121a0733600
13c78cc333
1476d12ca4
1549571956
hex2f181ea0

790109856 has 96 divisors (see below), whose sum is σ = 2353639680. Its totient is φ = 257753088.

The previous prime is 790109779. The next prime is 790109921. The reversal of 790109856 is 658901097.

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

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, 30880 + ... + 50336.

It is an arithmetic number, because the mean of its divisors is an integer number (24517080).

Almost surely, 2790109856 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 790109856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176819840).

790109856 is an abundant number, since it is smaller than the sum of its proper divisors (1563529824).

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

790109856 is a wasteful number, since it uses less digits than its factorization.

790109856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523 (or 19509 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 790109856 is about 28108.8928277156. The cubic root of 790109856 is about 924.4763945818.

The spelling of 790109856 in words is "seven hundred ninety million, one hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 19457 20304 38914 40608 58371 77828 116742 155656 175113 233484 311312 350226 466968 525339 622624 700452 914479 933936 1050678 1400904 1828958 1867872 2101356 2743437 2801808 3657916 4202712 5486874 5603616 7315832 8230311 8405424 10973748 14631664 16460622 16810848 21947496 24690933 29263328 32921244 43894992 49381866 65842488 87789984 98763732 131684976 197527464 263369952 395054928 790109856