[go: up one dir, main page]

Search a number
-
+
806290848 = 25341128279
BaseRepresentation
bin110000000011110…
…000010110100000
32002012011211010000
4300003300112200
53122402301343
6212001340000
725660234116
oct6003602640
92065154100
10806290848
11384148280
121a6037600
13cb07639c
1479125ab6
154abbaed3
hex300f05a0

806290848 has 120 divisors (see below), whose sum is σ = 2586941280. Its totient is φ = 244321920.

The previous prime is 806290843. The next prime is 806290867. The reversal of 806290848 is 848092608.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (806290843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14373 + ... + 42651.

It is an arithmetic number, because the mean of its divisors is an integer number (21557844).

Almost surely, 2806290848 is an apocalyptic number.

806290848 is a gapful number since it is divisible by the number (88) 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 806290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293470640).

806290848 is an abundant number, since it is smaller than the sum of its proper divisors (1780650432).

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

806290848 is a wasteful number, since it uses less digits than its factorization.

806290848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28312 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 806290848 is about 28395.2610130634. The cubic root of 806290848 is about 930.7447104754.

The spelling of 806290848 in words is "eight hundred six million, two hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28279 28512 56558 84837 113116 169674 226232 254511 311069 339348 452464 509022 622138 678696 763533 904928 933207 1018044 1244276 1357392 1527066 1866414 2036088 2290599 2488552 2714784 2799621 3054132 3732828 4072176 4581198 4977104 5599242 6108264 7465656 8144352 8398863 9162396 9954208 11198484 12216528 14931312 16797726 18324792 22396968 24433056 25196589 29862624 33595452 36649584 44793936 50393178 67190904 73299168 89587872 100786356 134381808 201572712 268763616 403145424 806290848