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2029282444 = 227315344111
BaseRepresentation
bin111100011110100…
…0110010010001100
312020102110020012001
41320331012102030
513123444014234
6533210322044
7101200421230
oct17075062214
95212406161
102029282444
11951527a32
12487729324
1326455a857
1415371c5c0
15bd248d14
hex78f4648c

2029282444 has 48 divisors (see below), whose sum is σ = 4268630016. Its totient is φ = 825739200.

The previous prime is 2029282429. The next prime is 2029282447. The reversal of 2029282444 is 4442829202.

It is a super-2 number, since 2×20292824442 = 8235974475053226272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2029282447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23949 + ... + 68059.

It is an arithmetic number, because the mean of its divisors is an integer number (88929792).

Almost surely, 22029282444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029282444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134315008).

2029282444 is an abundant number, since it is smaller than the sum of its proper divisors (2239347572).

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

2029282444 is a wasteful number, since it uses less digits than its factorization.

2029282444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44206 (or 44204 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 2029282444 is about 45047.5575808500. The cubic root of 2029282444 is about 1266.0402102917.

The spelling of 2029282444 in words is "two billion, twenty-nine million, two hundred eighty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 371 434 742 868 1484 1643 3286 6572 11501 23002 44111 46004 88222 176444 308777 617554 1235108 1367441 2337883 2734882 4675766 5469764 9351532 9572087 16365181 19144174 32730362 38288348 65460724 72474373 144948746 289897492 507320611 1014641222 2029282444