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2482956960 = 2535114211117
BaseRepresentation
bin1001001111111110…
…1110101010100000
320102001010021121220
42103333232222200
520041114110320
61050214215040
7115346533401
oct22377565240
96361107556
102482956960
111064623350
12593654480
13307542c03
14197a959a8
15e7eb0e40
hex93feeaa0

2482956960 has 192 divisors, whose sum is σ = 8560266624. Its totient is φ = 599961600.

The previous prime is 2482956877. The next prime is 2482956961. The reversal of 2482956960 is 696592842.

It is not an unprimeable number, because it can be changed into a prime (2482956961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222322 + ... + 2223438.

It is an arithmetic number, because the mean of its divisors is an integer number (44584722).

Almost surely, 22482956960 is an apocalyptic number.

2482956960 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 2482956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280133312).

2482956960 is an abundant number, since it is smaller than the sum of its proper divisors (6077309664).

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

2482956960 is a wasteful number, since it uses less digits than its factorization.

2482956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 2482956960 is about 49829.2781404668. The cubic root of 2482956960 is about 1354.1176447085.

It can be divided in two parts, 248295 and 6960, that added together give a triangular number (255255 = T714).

The spelling of 2482956960 in words is "two billion, four hundred eighty-two million, nine hundred fifty-six thousand, nine hundred sixty".