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438506013 = 311291912399
BaseRepresentation
bin11010001000110…
…001001000011101
31010120010102011110
4122020301020131
51344224143023
6111302412233
713603145121
oct3210611035
91116112143
10438506013
11205586070
12102a31079
136cb0411a
1442349581
152876ca93
hex1a23121d

438506013 has 32 divisors (see below), whose sum is σ = 663552000. Its totient is φ = 255147200.

The previous prime is 438505919. The next prime is 438506021. The reversal of 438506013 is 310605834.

It is not a de Polignac number, because 438506013 - 220 = 437457437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438506413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181588 + ... + 183986.

It is an arithmetic number, because the mean of its divisors is an integer number (20736000).

Almost surely, 2438506013 is an apocalyptic number.

It is an amenable number.

438506013 is a deficient number, since it is larger than the sum of its proper divisors (225045987).

438506013 is a wasteful number, since it uses less digits than its factorization.

438506013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 438506013 is about 20940.5351650811. The cubic root of 438506013 is about 759.7286733441.

The spelling of 438506013 in words is "four hundred thirty-eight million, five hundred six thousand, thirteen".

Divisors: 1 3 11 29 33 87 191 319 573 957 2101 2399 5539 6303 7197 16617 26389 60929 69571 79167 182787 208713 458209 765281 1374627 2295843 5040299 13288061 15120897 39864183 146168671 438506013