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1882013952 = 28372133847
BaseRepresentation
bin111000000101101…
…0100000100000000
311212011100012210110
41300023110010000
512323243421302
6510430031320
764431566100
oct16013240400
94764305713
101882013952
11886390a35
12446348540
1323cba7030
1413bd45200
15b0358b6c
hex702d4100

1882013952 has 216 divisors, whose sum is σ = 6276518976. Its totient is φ = 496226304.

The previous prime is 1882013923. The next prime is 1882013953. The reversal of 1882013952 is 2593102881.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1882013952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882013953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487293 + ... + 491139.

Almost surely, 21882013952 is an apocalyptic number.

1882013952 is a gapful number since it is divisible by the number (12) 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 1882013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138259488).

1882013952 is an abundant number, since it is smaller than the sum of its proper divisors (4394505024).

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

1882013952 is a wasteful number, since it uses less digits than its factorization.

1882013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1882013952 is about 43382.1847306011. The cubic root of 1882013952 is about 1234.6417143788.

The spelling of 1882013952 in words is "one billion, eight hundred eighty-two million, thirteen thousand, nine hundred fifty-two".