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2892070104 = 23371119312657
BaseRepresentation
bin1010110001100001…
…0111110011011000
321110112221101100120
42230120113303120
521410332220404
61154551033240
7131445122160
oct25430276330
97415841316
102892070104
111254553090
1268866b820
133712254b1
141d614d5a0
1511dd749d9
hexac617cd8

2892070104 has 256 divisors, whose sum is σ = 9798451200. Its totient is φ = 688435200.

The previous prime is 2892070079. The next prime is 2892070121. The reversal of 2892070104 is 4010702982.

It is a happy number.

2892070104 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087144 + ... + 1089800.

It is an arithmetic number, because the mean of its divisors is an integer number (38275200).

Almost surely, 22892070104 is an apocalyptic number.

2892070104 is a gapful number since it is divisible by the number (24) 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 2892070104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899225600).

2892070104 is an abundant number, since it is smaller than the sum of its proper divisors (6906381096).

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

2892070104 is a wasteful number, since it uses less digits than its factorization.

2892070104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2892070104 is about 53777.9704339983. The cubic root of 2892070104 is about 1424.7421474967.

The spelling of 2892070104 in words is "two billion, eight hundred ninety-two million, seventy thousand, one hundred four".