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809480142 = 2361929221
BaseRepresentation
bin110000001111111…
…010111111001110
32002102011212000000
4300033322333032
53124211331032
6212153545130
726026316262
oct6017727716
92072155000
10809480142
11385a26459
121a71151a6
13cb921c43
14797160a2
154b0eae7c
hex303fafce

809480142 has 56 divisors (see below), whose sum is σ = 1916378760. Its totient is φ = 255616560.

The previous prime is 809480141. The next prime is 809480149. The reversal of 809480142 is 241084908.

It is a junction number, because it is equal to n+sod(n) for n = 809480097 and 809480106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809480141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13092 + ... + 42312.

Almost surely, 2809480142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809480142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958189380).

809480142 is an abundant number, since it is smaller than the sum of its proper divisors (1106898618).

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

809480142 is a wasteful number, since it uses less digits than its factorization.

809480142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29260 (or 29245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 809480142 is about 28451.3645015490. The cubic root of 809480142 is about 931.9702869257.

The spelling of 809480142 in words is "eight hundred nine million, four hundred eighty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 3078 4617 9234 13851 27702 29221 58442 87663 175326 262989 525978 555199 788967 1110398 1577934 1665597 2366901 3331194 4733802 4996791 7100703 9993582 14201406 14990373 21302109 29980746 42604218 44971119 89942238 134913357 269826714 404740071 809480142