Search a number
-
+
2589048120 = 233521575401
BaseRepresentation
bin1001101001010001…
…1011110100111000
320200102202021100010
42122110123310320
520300244014440
61104524141520
7121105355151
oct23224336470
96612667303
102589048120
1111094a519a
126030978a0
1332350a049
141a7bd0928
1510246a580
hex9a51bd38

2589048120 has 32 divisors (see below), whose sum is σ = 7767144720. Its totient is φ = 690412800.

The previous prime is 2589048083. The next prime is 2589048127. The reversal of 2589048120 is 218409852.

2589048120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589048127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10787581 + ... + 10787820.

Almost surely, 22589048120 is an apocalyptic number.

2589048120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2589048120 is an abundant number, since it is smaller than the sum of its proper divisors (5178096600).

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

2589048120 is a wasteful number, since it uses less digits than its factorization.

2589048120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21575415 (or 21575411 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2589048120 is about 50882.6897873923. The cubic root of 2589048120 is about 1373.1354332508.

The spelling of 2589048120 in words is "two billion, five hundred eighty-nine million, forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 21575401 43150802 64726203 86301604 107877005 129452406 172603208 215754010 258904812 323631015 431508020 517809624 647262030 863016040 1294524060 2589048120