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2032089408 = 263212727779
BaseRepresentation
bin111100100011111…
…0011100101000000
312020121201211121200
41321013303211000
513130203330113
6533350421200
7101233321626
oct17107634500
95217654550
102032089408
11953074938
12488661800
1326500138b
14153c4d516
15bd600873
hex791f3940

2032089408 has 84 divisors (see below), whose sum is σ = 5870691840. Its totient is φ = 672005376.

The previous prime is 2032089379. The next prime is 2032089419. The reversal of 2032089408 is 8049802302.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59263 + ... + 87041.

Almost surely, 22032089408 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 2032089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935345920).

2032089408 is an abundant number, since it is smaller than the sum of its proper divisors (3838602432).

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

2032089408 is a wasteful number, since it uses less digits than its factorization.

2032089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27924 (or 27911 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2032089408 is about 45078.7023770649. The cubic root of 2032089408 is about 1266.6236828750.

The spelling of 2032089408 in words is "two billion, thirty-two million, eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 18288 24384 27779 36576 55558 73152 83337 111116 166674 222232 250011 333348 444464 500022 666696 888928 1000044 1333392 1777856 2000088 2666784 3527933 4000176 5333568 7055866 8000352 10583799 14111732 16000704 21167598 28223464 31751397 42335196 56446928 63502794 84670392 112893856 127005588 169340784 225787712 254011176 338681568 508022352 677363136 1016044704 2032089408