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2842871808 = 2113731971
BaseRepresentation
bin1010100101110010…
…1100100000000000
321100010100211222110
42221130230200000
521310233344213
61150032335320
7130310004000
oct25134544000
97303324873
102842871808
1112297aa737
126740a4540
13363c8ac8a
141cd7c4000
151198a75c3
hexa972c800

2842871808 has 384 divisors, whose sum is σ = 9434880000. Its totient is φ = 758661120.

The previous prime is 2842871807. The next prime is 2842871821. The reversal of 2842871808 is 8081782482.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2842871803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40040413 + ... + 40040483.

It is an arithmetic number, because the mean of its divisors is an integer number (24570000).

Almost surely, 22842871808 is an apocalyptic number.

2842871808 is a gapful number since it is divisible by the number (28) 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 2842871808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440000).

2842871808 is an abundant number, since it is smaller than the sum of its proper divisors (6592008192).

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

2842871808 is an equidigital number, since it uses as much as digits as its factorization.

2842871808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 2842871808 is about 53318.5878282612. The cubic root of 2842871808 is about 1416.6169229193.

The spelling of 2842871808 in words is "two billion, eight hundred forty-two million, eight hundred seventy-one thousand, eight hundred eight".