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2842043904 = 29327241307
BaseRepresentation
bin1010100101100110…
…0010011000000000
321100001210210022100
42221121202120000
521310030401104
61150002510400
7130266655200
oct25131423000
97301723270
102842043904
111229294717
12673965400
13363a5b1ab
141cd64a400
15119792139
hexa9662600

2842043904 has 360 divisors, whose sum is σ = 9806044248. Its totient is φ = 789626880.

The previous prime is 2842043887. The next prime is 2842043917. The reversal of 2842043904 is 4093402482.

It is a super-2 number, since 2×28420439042 = 16154427104527122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9257319 + ... + 9257625.

Almost surely, 22842043904 is an apocalyptic number.

2842043904 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 2842043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903022124).

2842043904 is an abundant number, since it is smaller than the sum of its proper divisors (6964000344).

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

2842043904 is a wasteful number, since it uses less digits than its factorization.

2842043904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2842043904 is about 53310.8235164305. The cubic root of 2842043904 is about 1416.4793933641.

The spelling of 2842043904 in words is "two billion, eight hundred forty-two million, forty-three thousand, nine hundred four".