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2042000832 = 263171921733
BaseRepresentation
bin111100110110110…
…0111010111000000
312021022101101112110
41321231213113000
513140223011312
6534343055320
7101413502124
oct17155472700
95238341473
102042000832
119587244a3
1248ba41540
13267091821
141552ad584
15be40c43c
hex79b675c0

2042000832 has 168 divisors, whose sum is σ = 6041020176. Its totient is φ = 606560256.

The previous prime is 2042000791. The next prime is 2042000833. The reversal of 2042000832 is 2380002402.

It is a junction number, because it is equal to n+sod(n) for n = 2042000799 and 2042000808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042000833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177438 + ... + 1179170.

Almost surely, 22042000832 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 2042000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020510088).

2042000832 is an abundant number, since it is smaller than the sum of its proper divisors (3999019344).

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

2042000832 is a wasteful number, since it uses less digits than its factorization.

2042000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2042000832 is about 45188.5033166623. The cubic root of 2042000832 is about 1268.6796437419.

The spelling of 2042000832 in words is "two billion, forty-two million, eight hundred thirty-two", and thus it is an aban number.