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2892798480 = 24351113312719
BaseRepresentation
bin1010110001101100…
…1001101000010000
321110121022101111110
42230123021220100
521411024022410
61155014413320
7131454244545
oct25433115020
97417271443
102892798480
111254a00350
12688961240
1337141bba0
141d629cbcc
1511de6a720
hexac6c9a10

2892798480 has 320 divisors, whose sum is σ = 10879303680. Its totient is φ = 626227200.

The previous prime is 2892798437. The next prime is 2892798509. The reversal of 2892798480 is 848972982.

It is a self number, because there is not a number n which added to its sum of digits gives 2892798480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062561 + ... + 1065279.

It is an arithmetic number, because the mean of its divisors is an integer number (33997824).

Almost surely, 22892798480 is an apocalyptic number.

2892798480 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 2892798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439651840).

2892798480 is an abundant number, since it is smaller than the sum of its proper divisors (7986505200).

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

2892798480 is a wasteful number, since it uses less digits than its factorization.

2892798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 2892798480 is about 53784.7420743095. The cubic root of 2892798480 is about 1424.8617458975.

The spelling of 2892798480 in words is "two billion, eight hundred ninety-two million, seven hundred ninety-eight thousand, four hundred eighty".