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807817842 = 2321318119073
BaseRepresentation
bin110000001001100…
…101001001110010
32002022001101202100
4300021211021302
53123300132332
6212054201230
726006224026
oct6011451162
92068041670
10807817842
11384aa0557
121a6653216
13cb48c430
1479402386
154adbd67c
hex30265272

807817842 has 48 divisors (see below), whose sum is σ = 1895421528. Its totient is φ = 247173120.

The previous prime is 807817841. The next prime is 807817847. The reversal of 807817842 is 248718708.

It can be written as a sum of positive squares in 4 ways, for example, as 73462041 + 734355801 = 8571^2 + 27099^2 .

It is not an unprimeable number, because it can be changed into a prime (807817841) 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, 32818 + ... + 51890.

Almost surely, 2807817842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807817842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947710764).

807817842 is an abundant number, since it is smaller than the sum of its proper divisors (1087603686).

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

807817842 is a wasteful number, since it uses less digits than its factorization.

807817842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19275 (or 19272 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 807817842 is about 28422.1364784564. The cubic root of 807817842 is about 931.3319035992.

The spelling of 807817842 in words is "eight hundred seven million, eight hundred seventeen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1629 2353 3258 4706 7059 14118 19073 21177 38146 42354 57219 114438 171657 247949 343314 495898 743847 1487694 2231541 3452213 4463082 6904426 10356639 20713278 31069917 44878769 62139834 89757538 134636307 269272614 403908921 807817842