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4048641 = 32599751
BaseRepresentation
bin1111011100011100000001
321121200200200
433130130001
52014024031
6222435413
746261422
oct17343401
97550620
104048641
112315893
121432b69
13ab9a5c
14775649
1554e8e6
hex3dc701

4048641 has 12 divisors (see below), whose sum is σ = 5865600. Its totient is φ = 2691000.

The previous prime is 4048637. The next prime is 4048643. The reversal of 4048641 is 1468404.

4048641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4048641 - 22 = 4048637 is a prime.

It is a super-3 number, since 3×40486413 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4048643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5016 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (488800).

Almost surely, 24048641 is an apocalyptic number.

It is an amenable number.

4048641 is a deficient number, since it is larger than the sum of its proper divisors (1816959).

4048641 is a wasteful number, since it uses less digits than its factorization.

4048641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4048641 is about 2012.1235051557. The cubic root of 4048641 is about 159.3809543335.

It can be divided in two parts, 404 and 8641, that added together give a triangular number (9045 = T134).

The spelling of 4048641 in words is "four million, forty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 599 751 1797 2253 5391 6759 449849 1349547 4048641