Search a number
-
+
2483949000 = 233531363691
BaseRepresentation
bin1001010000001110…
…0000110111001000
320102002222200110010
42110003200313020
520041342332000
61050251351520
7115361134551
oct22403406710
96362880403
102483949000
111065140715
12593a525a0
133077cc610
14197c73328
15e8109d50
hex940e0dc8

2483949000 has 128 divisors (see below), whose sum is σ = 8346199680. Its totient is φ = 611424000.

The previous prime is 2483948989. The next prime is 2483949019. The reversal of 2483949000 is 9493842.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2483949000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155 + ... + 70845.

It is an arithmetic number, because the mean of its divisors is an integer number (65204685).

Almost surely, 22483949000 is an apocalyptic number.

2483949000 is a gapful number since it is divisible by the number (20) 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 2483949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173099840).

2483949000 is an abundant number, since it is smaller than the sum of its proper divisors (5862250680).

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

2483949000 is a wasteful number, since it uses less digits than its factorization.

2483949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63728 (or 63714 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2483949000 is about 49839.2315350066. The cubic root of 2483949000 is about 1354.2979619705.

The spelling of 2483949000 in words is "two billion, four hundred eighty-three million, nine hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 63691 127382 191073 254764 318455 382146 509528 636910 764292 827983 955365 1273820 1528584 1592275 1655966 1910730 2483949 2547640 3184550 3311932 3821460 4139915 4776825 4967898 6369100 6623864 7642920 7961375 8279830 9553650 9935796 12419745 12738200 15922750 16559660 19107300 19871592 20699575 23884125 24839490 31845500 33119320 38214600 41399150 47768250 49678980 62098725 63691000 82798300 95536500 99357960 103497875 124197450 165596600 191073000 206995750 248394900 310493625 413991500 496789800 620987250 827983000 1241974500 2483949000