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809119038 = 237135925117
BaseRepresentation
bin110000001110100…
…010110100111110
32002101111111122210
4300032202310332
53124113302123
6212142121250
726023253430
oct6016426476
92071444583
10809119038
113857aa122
121a6b80226
13cb826780
1479660650
154b078e93
hex303a2d3e

809119038 has 64 divisors (see below), whose sum is σ = 2025515520. Its totient is φ = 209768832.

The previous prime is 809119037. The next prime is 809119081. The reversal of 809119038 is 830911908.

It is a happy number.

809119038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 809118987 and 809119005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809119037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19656 + ... + 44772.

It is an arithmetic number, because the mean of its divisors is an integer number (31648680).

Almost surely, 2809119038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809119038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012757760).

809119038 is an abundant number, since it is smaller than the sum of its proper divisors (1216396482).

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

809119038 is a wasteful number, since it uses less digits than its factorization.

809119038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25201.

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 809119038 is about 28445.0178062873. The cubic root of 809119038 is about 931.8316842859.

The spelling of 809119038 in words is "eight hundred nine million, one hundred nineteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 177 182 273 354 413 546 767 826 1239 1534 2301 2478 4602 5369 10738 16107 25117 32214 50234 75351 150702 175819 326521 351638 527457 653042 979563 1054914 1481903 1959126 2285647 2963806 4445709 4571294 6856941 8891418 10373321 13713882 19264739 20746642 31119963 38529478 57794217 62239926 115588434 134853173 269706346 404559519 809119038