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806674932 = 223273123331
BaseRepresentation
bin110000000101001…
…110000111110100
32002012220022222100
4300011032013310
53123002044212
6212013502100
725663423650
oct6005160764
92065808870
10806674932
1138438a8a8
121a61a1930
13cb17c15b
14791c5a60
154ac44bdc
hex3014e1f4

806674932 has 108 divisors (see below), whose sum is σ = 2408716128. Its totient is φ = 222976800.

The previous prime is 806674931. The next prime is 806674943. The reversal of 806674932 is 239476608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806674931) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 240507 + ... + 243837.

Almost surely, 2806674932 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 806674932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204358064).

806674932 is an abundant number, since it is smaller than the sum of its proper divisors (1602041196).

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

806674932 is a wasteful number, since it uses less digits than its factorization.

806674932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 806674932 is about 28402.0233786257. The cubic root of 806674932 is about 930.8924765922.

The spelling of 806674932 in words is "eight hundred six million, six hundred seventy-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 961 1116 1302 1922 1953 2604 2883 3331 3844 3906 5766 6662 6727 7812 8649 9993 11532 13324 13454 17298 19986 20181 23317 26908 29979 34596 39972 40362 46634 59958 60543 69951 80724 93268 103261 119916 121086 139902 206522 209853 242172 279804 309783 413044 419706 619566 722827 839412 929349 1239132 1445654 1858698 2168481 2891308 3201091 3717396 4336962 6402182 6505443 8673924 9603273 12804364 13010886 19206546 22407637 26021772 28809819 38413092 44815274 57619638 67222911 89630548 115239276 134445822 201668733 268891644 403337466 806674932