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2798024460 = 22357211241359
BaseRepresentation
bin1010011011000110…
…0111011100001100
321012222222100222120
42212301213130030
521212243240320
61141351212540
7126223546500
oct24661473414
97188870876
102798024460
111206459210
12661077150
133578b7c9a
141c786c300
15115999440
hexa6c6770c

2798024460 has 288 divisors, whose sum is σ = 10011133440. Its totient is φ = 577382400.

The previous prime is 2798024423. The next prime is 2798024477. The reversal of 2798024460 is 644208972.

2798024460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7793761 + ... + 7794119.

It is an arithmetic number, because the mean of its divisors is an integer number (34760880).

Almost surely, 22798024460 is an apocalyptic number.

2798024460 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 2798024460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005566720).

2798024460 is an abundant number, since it is smaller than the sum of its proper divisors (7213108980).

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

2798024460 is a wasteful number, since it uses less digits than its factorization.

2798024460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2798024460 is about 52896.3558291117. The cubic root of 2798024460 is about 1409.1281869821.

The spelling of 2798024460 in words is "two billion, seven hundred ninety-eight million, twenty-four thousand, four hundred sixty".