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1382431407 = 37371779191
BaseRepresentation
bin101001001100110…
…0011101010101111
310120100021210101020
41102121203222233
510312400301112
6345102145223
746154321160
oct12231435257
93510253336
101382431407
1164a38a1a5
12326b82213
13190539c66
14d185b767
158157448c
hex52663aaf

1382431407 has 16 divisors (see below), whose sum is σ = 2163497472. Its totient is φ = 768610080.

The previous prime is 1382431367. The next prime is 1382431417. The reversal of 1382431407 is 7041342831.

It is not a de Polignac number, because 1382431407 - 26 = 1382431343 is a prime.

It is a super-2 number, since 2×13824314072 = 3822233190119999298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382431417) 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 15 ways as a sum of consecutive naturals, for example, 888819 + ... + 890372.

It is an arithmetic number, because the mean of its divisors is an integer number (135218592).

Almost surely, 21382431407 is an apocalyptic number.

1382431407 is a deficient number, since it is larger than the sum of its proper divisors (781066065).

1382431407 is a wasteful number, since it uses less digits than its factorization.

1382431407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779238.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1382431407 is about 37181.0624780949. The cubic root of 1382431407 is about 1113.9897562521.

The spelling of 1382431407 in words is "one billion, three hundred eighty-two million, four hundred thirty-one thousand, four hundred seven".

Divisors: 1 3 7 21 37 111 259 777 1779191 5337573 12454337 37363011 65830067 197490201 460810469 1382431407