Search a number
-
+
808961016 = 233612712039
BaseRepresentation
bin110000001101111…
…100001111111000
32002101012110220010
4300031330033320
53124043223031
6212134501520
726022024633
oct6015741770
92071173803
10808961016
11385701426
121a6b048a0
13cb79c876
147961cc1a
154b047246
hex3037c3f8

808961016 has 64 divisors (see below), whose sum is σ = 2064153600. Its totient is φ = 264124800.

The previous prime is 808960993. The next prime is 808961017. The reversal of 808961016 is 610169808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808961017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395725 + ... + 397763.

It is an arithmetic number, because the mean of its divisors is an integer number (32252400).

Almost surely, 2808961016 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 808961016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032076800).

808961016 is an abundant number, since it is smaller than the sum of its proper divisors (1255192584).

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

808961016 is a wasteful number, since it uses less digits than its factorization.

808961016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 808961016 is about 28442.2399961747. The cubic root of 808961016 is about 931.7710176899.

The spelling of 808961016 in words is "eight hundred eight million, nine hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 271 366 488 542 732 813 1084 1464 1626 2039 2168 3252 4078 6117 6504 8156 12234 16312 16531 24468 33062 48936 49593 66124 99186 124379 132248 198372 248758 373137 396744 497516 552569 746274 995032 1105138 1492548 1657707 2210276 2985096 3315414 4420552 6630828 13261656 33706709 67413418 101120127 134826836 202240254 269653672 404480508 808961016