Search a number
-
+
486846090 = 232512374373
BaseRepresentation
bin11101000001001…
…010111010001010
31020221002100021200
4131001022322022
51444113033330
6120150445030
715031060233
oct3501127212
91227070250
10486846090
1122a8a2745
12117063776
1379b2ab13
144893008a
152cb1aa60
hex1d04ae8a

486846090 has 48 divisors (see below), whose sum is σ = 1267112808. Its totient is φ = 129691008.

The previous prime is 486846089. The next prime is 486846091. The reversal of 486846090 is 90648684.

It is a happy number.

486846090 is a `hidden beast` number, since 48 + 68 + 460 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (486846089) and next prime (486846091).

It can be written as a sum of positive squares in 4 ways, for example, as 446434641 + 40411449 = 21129^2 + 6357^2 .

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

It is not an unprimeable number, because it can be changed into a prime (486846091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109144 + ... + 113516.

Almost surely, 2486846090 is an apocalyptic number.

486846090 is an abundant number, since it is smaller than the sum of its proper divisors (780266718).

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

486846090 is a wasteful number, since it uses less digits than its factorization.

486846090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 486846090 is about 22064.5890512377. The cubic root of 486846090 is about 786.6784054155.

The spelling of 486846090 in words is "four hundred eighty-six million, eight hundred forty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1237 2474 3711 4373 6185 7422 8746 11133 12370 13119 18555 21865 22266 26238 37110 39357 43730 55665 65595 78714 111330 131190 196785 393570 5409401 10818802 16228203 27047005 32456406 48684609 54094010 81141015 97369218 162282030 243423045 486846090