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2839489000 = 23536146549
BaseRepresentation
bin1010100100111111…
…0010100111101000
321022212222222122021
42221033302213220
521303402122000
61145432034224
7130236154405
oct25117624750
97285888567
102839489000
1112278aa127
12672b32974
1336337530a
141cd1832ac
1511943a11a
hexa93f29e8

2839489000 has 64 divisors (see below), whose sum is σ = 6753474000. Its totient is φ = 1117152000.

The previous prime is 2839488997. The next prime is 2839489001. The reversal of 2839489000 is 9849382.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 98128836 + 2741360164 = 9906^2 + 52358^2 .

It is a super-2 number, since 2×28394890002 = 16125395562242000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2839489001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37726 + ... + 84274.

Almost surely, 22839489000 is an apocalyptic number.

2839489000 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 2839489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376737000).

2839489000 is an abundant number, since it is smaller than the sum of its proper divisors (3913985000).

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

2839489000 is a wasteful number, since it uses less digits than its factorization.

2839489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46631 (or 46617 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 2839489000 is about 53286.8557901477. The cubic root of 2839489000 is about 1416.0548099801.

The spelling of 2839489000 in words is "two billion, eight hundred thirty-nine million, four hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 46549 61000 93098 186196 232745 372392 465490 930980 1163725 1861960 2327450 2839489 4654900 5678978 5818625 9309800 11357956 11637250 14197445 22715912 23274500 28394890 46549000 56789780 70987225 113579560 141974450 283948900 354936125 567897800 709872250 1419744500 2839489000