Search a number
-
+
2082980592 = 2432721147571
BaseRepresentation
bin111110000100111…
…1100001011110000
312101011111101012100
41330021330023300
513231220334332
6542405300400
7102422020500
oct17411741360
95334441170
102082980592
11979874170
124a1704700
1327270c2c4
1415a8d9a00
15c2d0467c
hex7c27c2f0

2082980592 has 360 divisors, whose sum is σ = 7568301312. Its totient is φ = 528595200.

The previous prime is 2082980569. The next prime is 2082980617. The reversal of 2082980592 is 2950892802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3647667 + ... + 3648237.

Almost surely, 22082980592 is an apocalyptic number.

2082980592 is a gapful number since it is divisible by the number (22) 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 2082980592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784150656).

2082980592 is an abundant number, since it is smaller than the sum of its proper divisors (5485320720).

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

2082980592 is a wasteful number, since it uses less digits than its factorization.

2082980592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2082980592 is about 45639.6822074826. The cubic root of 2082980592 is about 1277.1103008511.

The spelling of 2082980592 in words is "two billion, eighty-two million, nine hundred eighty thousand, five hundred ninety-two".