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812608992 = 2532131271709
BaseRepresentation
bin110000011011110…
…110110111100000
32002122001210222100
4300123312313200
53131011441432
6212345010400
726065030266
oct6033666740
92078053870
10812608992
11387773188
121a8183a00
13cc479130
1479ccc436
154b51807c
hex306f6de0

812608992 has 144 divisors (see below), whose sum is σ = 2509678080. Its totient is φ = 247919616.

The previous prime is 812608961. The next prime is 812608997. The reversal of 812608992 is 299806218.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812608997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474634 + ... + 476342.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2812608992 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 812608992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

812608992 is an abundant number, since it is smaller than the sum of its proper divisors (1697069088).

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

812608992 is a wasteful number, since it uses less digits than its factorization.

812608992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1854 counting only the distinct ones).

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

The square root of 812608992 is about 28506.2974095199. The cubic root of 812608992 is about 933.1695118368.

The spelling of 812608992 in words is "eight hundred twelve million, six hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1248 1524 1651 1709 1872 2032 2286 3048 3302 3418 3744 4064 4572 4953 5127 6096 6604 6836 9144 9906 10254 12192 13208 13672 14859 15381 18288 19812 20508 22217 26416 27344 29718 30762 36576 39624 41016 44434 52832 54688 59436 61524 66651 79248 82032 88868 118872 123048 133302 158496 164064 177736 199953 217043 237744 246096 266604 355472 399906 434086 475488 492192 533208 651129 710944 799812 868172 1066416 1302258 1599624 1736344 1953387 2132832 2604516 2821559 3199248 3472688 3906774 5209032 5643118 6398496 6945376 7813548 8464677 10418064 11286236 15627096 16929354 20836128 22572472 25394031 31254192 33858708 45144944 50788062 62508384 67717416 90289888 101576124 135434832 203152248 270869664 406304496 812608992