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486809136 = 243311267139
BaseRepresentation
bin11101000001000…
…001111000110000
31020221000110121000
4131001001320300
51444110343021
6120150002000
715030544422
oct3501017060
91227013530
10486809136
1122a877a00
12117046300
1379b17058
1448920812
152cb0eb26
hex1d041e30

486809136 has 240 divisors, whose sum is σ = 1570038400. Its totient is φ = 144270720.

The previous prime is 486809129. The next prime is 486809153. The reversal of 486809136 is 631908684.

486809136 is a `hidden beast` number, since 486 + 80 + 91 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 486809091 and 486809100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3502155 + ... + 3502293.

Almost surely, 2486809136 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 486809136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785019200).

486809136 is an abundant number, since it is smaller than the sum of its proper divisors (1083229264).

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

486809136 is a wasteful number, since it uses less digits than its factorization.

486809136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 486809136 is about 22063.7516302192. The cubic root of 486809136 is about 786.6585006653.

The spelling of 486809136 in words is "four hundred eighty-six million, eight hundred nine thousand, one hundred thirty-six".