Search a number
-
+
2463048 = 23357181
BaseRepresentation
bin1001011001010101001000
311122010200000
421121111020
51112304143
6124443000
726635620
oct11312510
94563600
102463048
111432585
129a9460
13683133
14481880
15339bd3
hex259548

2463048 has 96 divisors (see below), whose sum is σ = 7949760. Its totient is φ = 699840.

The previous prime is 2463037. The next prime is 2463049. The reversal of 2463048 is 8403642.

2463048 is a `hidden beast` number, since 24 + 630 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13518 + ... + 13698.

It is an arithmetic number, because the mean of its divisors is an integer number (82810).

22463048 is an apocalyptic number.

2463048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974880).

2463048 is an abundant number, since it is smaller than the sum of its proper divisors (5486712).

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

2463048 is a wasteful number, since it uses less digits than its factorization.

2463048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2463048 is about 1569.4100802531. The cubic root of 2463048 is about 135.0488711949.

The spelling of 2463048 in words is "two million, four hundred sixty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 181 189 216 243 252 324 362 378 486 504 543 567 648 724 756 972 1086 1134 1267 1448 1512 1629 1701 1944 2172 2268 2534 3258 3402 3801 4344 4536 4887 5068 6516 6804 7602 9774 10136 11403 13032 13608 14661 15204 19548 22806 29322 30408 34209 39096 43983 45612 58644 68418 87966 91224 102627 117288 136836 175932 205254 273672 307881 351864 410508 615762 821016 1231524 2463048