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2044378080 = 2532531411117
BaseRepresentation
bin111100111011010…
…1011101111100000
312021110212011111200
41321312223233200
513141330044310
6534510041200
7101442632643
oct17166535740
95243764450
102044378080
11959aa8568
124907a9200
13267714894
1415572ba5a
15be72b9c0
hex79dabbe0

2044378080 has 288 divisors, whose sum is σ = 7383737088. Its totient is φ = 514252800.

The previous prime is 2044378079. The next prime is 2044378081. The reversal of 2044378080 is 808734402.

2044378080 is a `hidden beast` number, since 204 + 4 + 378 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2044378079) and next prime (2044378081).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×20443780803 (a number of 29 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (2044378081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829682 + ... + 1830798.

It is an arithmetic number, because the mean of its divisors is an integer number (25637976).

Almost surely, 22044378080 is an apocalyptic number.

2044378080 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 2044378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691868544).

2044378080 is an abundant number, since it is smaller than the sum of its proper divisors (5339359008).

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

2044378080 is a wasteful number, since it uses less digits than its factorization.

2044378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2044378080 is about 45214.7993471164. The cubic root of 2044378080 is about 1269.1717748719.

The spelling of 2044378080 in words is "two billion, forty-four million, three hundred seventy-eight thousand, eighty".