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2041632432 = 243372432243
BaseRepresentation
bin111100110110000…
…1101011010110000
312021021200200012000
41321230031122300
513140124214212
6534331134000
7101410406100
oct17154153260
95237620160
102041632432
119584a2734
1248b8a4300
13266c92c38
14155215200
15be3881dc
hex79b0d6b0

2041632432 has 240 divisors, whose sum is σ = 6978660480. Its totient is φ = 569503872.

The previous prime is 2041632409. The next prime is 2041632487. The reversal of 2041632432 is 2342361402.

2041632432 is a `hidden beast` number, since 2 + 0 + 416 + 3 + 243 + 2 = 666.

2041632432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2041632396 and 2041632405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909103 + ... + 911345.

It is an arithmetic number, because the mean of its divisors is an integer number (29077752).

Almost surely, 22041632432 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 2041632432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489330240).

2041632432 is an abundant number, since it is smaller than the sum of its proper divisors (4937028048).

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

2041632432 is a wasteful number, since it uses less digits than its factorization.

2041632432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2041632432 is about 45184.4268747541. The cubic root of 2041632432 is about 1268.6033444438.

Adding to 2041632432 its reverse (2342361402), we get a palindrome (4383993834).

The spelling of 2041632432 in words is "two billion, forty-one million, six hundred thirty-two thousand, four hundred thirty-two".