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2044428120 = 2333571943331
BaseRepresentation
bin111100111011011…
…0111111101011000
312021110221201011000
41321312313331120
513141333144440
6534511105000
7101443231560
oct17166677530
95243851130
102044428120
1195a032119
12490812160
132677315a7
14155741da0
15be73b730
hex79db7f58

2044428120 has 512 divisors, whose sum is σ = 8414208000. Its totient is φ = 431101440.

The previous prime is 2044428091. The next prime is 2044428179. The reversal of 2044428120 is 218244402.

2044428120 is a `hidden beast` number, since 204 + 442 + 8 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6176355 + ... + 6176685.

It is an arithmetic number, because the mean of its divisors is an integer number (16434000).

Almost surely, 22044428120 is an apocalyptic number.

2044428120 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 2044428120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207104000).

2044428120 is an abundant number, since it is smaller than the sum of its proper divisors (6369779880).

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

2044428120 is a wasteful number, since it uses less digits than its factorization.

2044428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2044428120 is about 45215.3527023731. The cubic root of 2044428120 is about 1269.1821299098.

The spelling of 2044428120 in words is "two billion, forty-four million, four hundred twenty-eight thousand, one hundred twenty".