Search a number
-
+
807908856 = 233233121523
BaseRepresentation
bin110000001001111…
…011010111111000
32002022020000121020
4300021323113320
53123311040411
6212100142440
726010053256
oct6011732770
92068200536
10807908856
11385052977
121a6697a20
13cb4c19a1
14794275d6
154adda606
hex3027b5f8

807908856 has 96 divisors (see below), whose sum is σ = 2179198080. Its totient is φ = 249120960.

The previous prime is 807908819. The next prime is 807908863. The reversal of 807908856 is 658809708.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 807908799 and 807908808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529711 + ... + 531233.

It is an arithmetic number, because the mean of its divisors is an integer number (22699980).

Almost surely, 2807908856 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 807908856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089599040).

807908856 is an abundant number, since it is smaller than the sum of its proper divisors (1371289224).

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

807908856 is a wasteful number, since it uses less digits than its factorization.

807908856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 807908856 is about 28423.7375445243. The cubic root of 807908856 is about 931.3668789176.

The spelling of 807908856 in words is "eight hundred seven million, nine hundred eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 961 1426 1523 1922 2139 2852 2883 3046 3844 4278 4569 5704 5766 6092 7688 8556 9138 11532 12184 17112 18276 22103 23064 35029 36552 44206 47213 66309 70058 88412 94426 105087 132618 140116 141639 176824 188852 210174 265236 280232 283278 377704 420348 530472 566556 840696 1085899 1133112 1463603 2171798 2927206 3257697 4343596 4390809 5854412 6515394 8687192 8781618 11708824 13030788 17563236 26061576 33662869 35126472 67325738 100988607 134651476 201977214 269302952 403954428 807908856