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2032138192 = 24723976529
BaseRepresentation
bin111100100011111…
…1111011111010000
312020121211022112111
41321013333133100
513130211410232
6533351435104
7101233614100
oct17107773720
95217738474
102032138192
119530a8557
12488685a94
1326501a646
14153c63200
15bd610047
hex791ff7d0

2032138192 has 60 divisors (see below), whose sum is σ = 4592326980. Its totient is φ = 868589568.

The previous prime is 2032138187. The next prime is 2032138211. The reversal of 2032138192 is 2918312302.

It can be written as a sum of positive squares in 2 ways, for example, as 703098256 + 1329039936 = 26516^2 + 36456^2 .

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, 307984 + ... + 314512.

It is an arithmetic number, because the mean of its divisors is an integer number (76538783).

Almost surely, 22032138192 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 2032138192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296163490).

2032138192 is an abundant number, since it is smaller than the sum of its proper divisors (2560188788).

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

2032138192 is a wasteful number, since it uses less digits than its factorization.

2032138192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2032138192 is about 45079.2434719129. The cubic root of 2032138192 is about 1266.6338186619.

The spelling of 2032138192 in words is "two billion, thirty-two million, one hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 397 784 794 1588 2779 3176 5558 6352 6529 11116 13058 19453 22232 26116 38906 44464 45703 52232 77812 91406 104464 155624 182812 311248 319921 365624 639842 731248 1279684 2559368 2592013 5118736 5184026 10368052 18144091 20736104 36288182 41472208 72576364 127008637 145152728 254017274 290305456 508034548 1016069096 2032138192