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806991480 = 23325892283
BaseRepresentation
bin110000000110011…
…011011001111000
32002020111102012100
4300012123121320
53123042211410
6212024343400
725666212561
oct6006333170
92066442170
10806991480
11384586709
121a6314b60
13cb260269
1479269168
154aca88c0
hex3019b678

806991480 has 144 divisors (see below), whose sum is σ = 2661895080. Its totient is φ = 212027904.

The previous prime is 806991469. The next prime is 806991481. The reversal of 806991480 is 84199608.

806991480 is a `hidden beast` number, since 80 + 6 + 9 + 91 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806991481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2851419 + ... + 2851701.

Almost surely, 2806991480 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 806991480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330947540).

806991480 is an abundant number, since it is smaller than the sum of its proper divisors (1854903600).

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

806991480 is a wasteful number, since it uses less digits than its factorization.

806991480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 806991480 is about 28407.5954631855. The cubic root of 806991480 is about 931.0142247728.

The spelling of 806991480 in words is "eight hundred six million, nine hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 283 356 360 445 534 566 712 801 849 890 1068 1132 1335 1415 1602 1698 1780 2136 2264 2547 2670 2830 3204 3396 3560 4005 4245 5094 5340 5660 6408 6792 7921 8010 8490 10188 10680 11320 12735 15842 16020 16980 20376 23763 25187 25470 31684 32040 33960 39605 47526 50374 50940 63368 71289 75561 79210 95052 100748 101880 118815 125935 142578 151122 158420 190104 201496 226683 237630 251870 285156 302244 316840 356445 377805 453366 475260 503740 570312 604488 712890 755610 906732 950520 1007480 1133415 1425780 1511220 1813464 2241643 2266830 2851560 3022440 4483286 4533660 6724929 8966572 9067320 11208215 13449858 17933144 20174787 22416430 26899716 33624645 40349574 44832860 53799432 67249290 80699148 89665720 100873935 134498580 161398296 201747870 268997160 403495740 806991480