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808012640 = 255107109433
BaseRepresentation
bin110000001010010…
…100101101100000
32002022102021222002
4300022110231200
53123322401030
6212102303132
726010664661
oct6012245540
92068367862
10808012640
11385113946
121a6727aa8
13cb529cb6
1479453368
154ae0b245
hex30294b60

808012640 has 96 divisors (see below), whose sum is σ = 1948937760. Its totient is φ = 316514304.

The previous prime is 808012591. The next prime is 808012643. The reversal of 808012640 is 46210808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808012643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865864 + ... + 1866296.

It is an arithmetic number, because the mean of its divisors is an integer number (20301435).

Almost surely, 2808012640 is an apocalyptic number.

808012640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974468880).

808012640 is an abundant number, since it is smaller than the sum of its proper divisors (1140925120).

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

808012640 is a wasteful number, since it uses less digits than its factorization.

808012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 808012640 is about 28425.5631430584. The cubic root of 808012640 is about 931.4067583506.

The spelling of 808012640 in words is "eight hundred eight million, twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 109 160 214 218 428 433 436 535 545 856 866 872 1070 1090 1712 1732 1744 2140 2165 2180 3424 3464 3488 4280 4330 4360 6928 8560 8660 8720 11663 13856 17120 17320 17440 23326 34640 46331 46652 47197 58315 69280 92662 93304 94394 116630 185324 186608 188788 231655 233260 235985 370648 373216 377576 463310 466520 471970 741296 755152 926620 933040 943940 1482592 1510304 1853240 1866080 1887880 3706480 3775760 5050079 7412960 7551520 10100158 20200316 25250395 40400632 50500790 80801264 101001580 161602528 202003160 404006320 808012640