Search a number
-
+
797898288 = 243112296599
BaseRepresentation
bin101111100011101…
…111011000110000
32001121101102200110
4233203233120300
53113230221123
6211101421320
725526011035
oct5743573060
92047342613
10797898288
1137a435880
121a326a840
13c93c8385
1477d7d38c
154a0ae493
hex2f8ef630

797898288 has 80 divisors (see below), whose sum is σ = 2258784000. Its totient is φ = 240695040.

The previous prime is 797898263. The next prime is 797898289. The reversal of 797898288 is 882898797.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (797898289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117613 + ... + 124211.

It is an arithmetic number, because the mean of its divisors is an integer number (28234800).

Almost surely, 2797898288 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 797898288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129392000).

797898288 is an abundant number, since it is smaller than the sum of its proper divisors (1460885712).

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

797898288 is a wasteful number, since it uses less digits than its factorization.

797898288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6844 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 66.

The square root of 797898288 is about 28247.0934433970. The cubic root of 797898288 is about 927.5041135332.

The spelling of 797898288 in words is "seven hundred ninety-seven million, eight hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 229 264 458 528 687 916 1374 1832 2519 2748 3664 5038 5496 6599 7557 10076 10992 13198 15114 19797 20152 26396 30228 39594 40304 52792 60456 72589 79188 105584 120912 145178 158376 217767 290356 316752 435534 580712 871068 1161424 1511171 1742136 3022342 3484272 4533513 6044684 9067026 12089368 16622881 18134052 24178736 33245762 36268104 49868643 66491524 72536208 99737286 132983048 199474572 265966096 398949144 797898288