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2419939104 = 2531119294159
BaseRepresentation
bin1001000000111101…
…0101011100100000
320020122112122101020
42100033111130200
514424001022404
61040043405440
7113653100022
oct22017253440
96218478336
102419939104
111031aa1080
12576523880
132c747a43b
1418d570012
15e26b3ed9
hex903d5720

2419939104 has 192 divisors, whose sum is σ = 7547904000. Its totient is φ = 670602240.

The previous prime is 2419939097. The next prime is 2419939111. The reversal of 2419939104 is 4019399142.

It is an interprime number because it is at equal distance from previous prime (2419939097) and next prime (2419939111).

It is a super-2 number, since 2×24199391042 = 11712210534136645632, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 579777 + ... + 583935.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 22419939104 is an apocalyptic number.

2419939104 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 2419939104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2419939104 is an abundant number, since it is smaller than the sum of its proper divisors (5127964896).

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

2419939104 is a wasteful number, since it uses less digits than its factorization.

2419939104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 2419939104 is about 49192.8765574854. The cubic root of 2419939104 is about 1342.5634274691.

The spelling of 2419939104 in words is "two billion, four hundred nineteen million, nine hundred thirty-nine thousand, one hundred four".