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6401629 = 133713309
BaseRepresentation
bin11000011010111001011101
3110001020101101
4120122321131
53114323004
6345113101
7105261433
oct30327135
913036341
106401629
113682703
122188791
131431a60
14bc8d53
15866ba4
hex61ae5d

6401629 has 8 divisors (see below), whose sum is σ = 7080920. Its totient is φ = 5749056.

The previous prime is 6401621. The next prime is 6401669. The reversal of 6401629 is 9261046.

It can be written as a sum of positive squares in 4 ways, for example, as 36100 + 6365529 = 190^2 + 2523^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6401629 - 23 = 6401621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6401597 and 6401606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6174 + ... + 7135.

It is an arithmetic number, because the mean of its divisors is an integer number (885115).

Almost surely, 26401629 is an apocalyptic number.

It is an amenable number.

6401629 is a deficient number, since it is larger than the sum of its proper divisors (679291).

6401629 is a wasteful number, since it uses less digits than its factorization.

6401629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 6401629 is about 2530.1440670444. The cubic root of 6401629 is about 185.6793044003.

The spelling of 6401629 in words is "six million, four hundred one thousand, six hundred twenty-nine".

Divisors: 1 13 37 481 13309 173017 492433 6401629