Search a number
-
+
486166590 = 233571347421
BaseRepresentation
bin11100111110100…
…101000000111110
31020212210211012000
4130332211000332
51443424312330
6120124123130
715022230210
oct3476450076
91225724160
10486166590
1122a479178
121169964a6
1379950750
14487d45b0
152ca34560
hex1cfa503e

486166590 has 256 divisors, whose sum is σ = 1633443840. Its totient is φ = 100154880.

The previous prime is 486166589. The next prime is 486166601. The reversal of 486166590 is 95661684.

486166590 is a `hidden beast` number, since 48 + 6 + 16 + 6 + 590 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1154580 + ... + 1155000.

It is an arithmetic number, because the mean of its divisors is an integer number (6380640).

Almost surely, 2486166590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486166590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816721920).

486166590 is an abundant number, since it is smaller than the sum of its proper divisors (1147277250).

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

486166590 is a wasteful number, since it uses less digits than its factorization.

486166590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 486166590 is about 22049.1856992498. The cubic root of 486166590 is about 786.3122411915.

The spelling of 486166590 in words is "four hundred eighty-six million, one hundred sixty-six thousand, five hundred ninety".