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404438427 = 3419317829
BaseRepresentation
bin11000000110110…
…011110110011011
31001012000121020000
4120012303312123
51312014012202
6104044304043
713010445531
oct3006636633
91035017200
10404438427
11198327638
12b3542023
1365a368a3
143b9dc151
152578d91c
hex181b3d9b

404438427 has 40 divisors (see below), whose sum is σ = 638734800. Its totient is φ = 254321856.

The previous prime is 404438399. The next prime is 404438459. The reversal of 404438427 is 724834404.

It is a happy number.

It is not a de Polignac number, because 404438427 - 28 = 404438171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404438391 and 404438400.

It is not an unprimeable number, because it can be changed into a prime (404438477) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 487449 + ... + 488277.

It is an arithmetic number, because the mean of its divisors is an integer number (15968370).

Almost surely, 2404438427 is an apocalyptic number.

404438427 is a deficient number, since it is larger than the sum of its proper divisors (234296373).

404438427 is a wasteful number, since it uses less digits than its factorization.

404438427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 404438427 is about 20110.6545641856. The cubic root of 404438427 is about 739.5214991548.

The spelling of 404438427 in words is "four hundred four million, four hundred thirty-eight thousand, four hundred twenty-seven".

Divisors: 1 3 9 19 27 57 81 171 317 513 829 951 1539 2487 2853 6023 7461 8559 15751 18069 22383 25677 47253 54207 67149 141759 162621 262793 425277 487863 788379 1275831 2365137 4993067 7095411 14979201 21286233 44937603 134812809 404438427