Search a number
-
+
486079830 = 232517331219
BaseRepresentation
bin11100111110001…
…111110101010110
31020212122102011200
4130332033311112
51443414023310
6120122213330
715021416235
oct3476176526
91225572150
10486079830
1122a419a75
12116954246
1379920102
14487b0b1c
152ca189c0
hex1cf8fd56

486079830 has 48 divisors (see below), whose sum is σ = 1271153520. Its totient is φ = 128867904.

The previous prime is 486079829. The next prime is 486079837. The reversal of 486079830 is 38970684.

It is a happy number.

486079830 is a `hidden beast` number, since 4 + 8 + 607 + 9 + 8 + 30 = 666.

It is a super-2 number, since 2×4860798302 = 472547202265657800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486079837) 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 23 ways as a sum of consecutive naturals, for example, 40 + ... + 31179.

It is an arithmetic number, because the mean of its divisors is an integer number (26482365).

Almost surely, 2486079830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486079830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635576760).

486079830 is an abundant number, since it is smaller than the sum of its proper divisors (785073690).

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

486079830 is a wasteful number, since it uses less digits than its factorization.

486079830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31405 (or 31402 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 486079830 is about 22047.2181918717. The cubic root of 486079830 is about 786.2654640099.

The spelling of 486079830 in words is "four hundred eighty-six million, seventy-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 15570 31219 62438 93657 156095 187314 280971 312190 468285 561942 936570 1404855 2809710 5400887 10801774 16202661 27004435 32405322 48607983 54008870 81013305 97215966 162026610 243039915 486079830