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408399953 = 13291083289
BaseRepresentation
bin11000010101111…
…011000001010001
31001110110212102012
4120111323001101
51314022244303
6104305232305
713056225263
oct3025730121
91043425365
10408399953
1119a592a25
12b4932695
13667c2aa0
143c34db33
1525cc25d8
hex1857b051

408399953 has 8 divisors (see below), whose sum is σ = 454981800. Its totient is φ = 363984768.

The previous prime is 408399949. The next prime is 408399961. The reversal of 408399953 is 359993804.

It can be written as a sum of positive squares in 4 ways, for example, as 34480384 + 373919569 = 5872^2 + 19337^2 .

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 408399953 - 22 = 408399949 is a prime.

It is a super-2 number, since 2×4083999532 = 333581043220804418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408399553) 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, 541268 + ... + 542021.

It is an arithmetic number, because the mean of its divisors is an integer number (56872725).

Almost surely, 2408399953 is an apocalyptic number.

It is an amenable number.

408399953 is a deficient number, since it is larger than the sum of its proper divisors (46581847).

408399953 is a wasteful number, since it uses less digits than its factorization.

408399953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083331.

The product of its (nonzero) digits is 1049760, while the sum is 50.

The square root of 408399953 is about 20208.9077636571. The cubic root of 408399953 is about 741.9282272564.

The spelling of 408399953 in words is "four hundred eight million, three hundred ninety-nine thousand, nine hundred fifty-three".

Divisors: 1 13 29 377 1083289 14082757 31415381 408399953