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404972327 = 19229101383
BaseRepresentation
bin11000001000110…
…110001100100111
31001020000201121002
4120020312030213
51312133103302
6104103543515
713015131224
oct3010661447
91036021532
10404972327
11198661781
12b375ab9b
1365b928c6
143bada94b
1525846c02
hex18236327

404972327 has 24 divisors (see below), whose sum is σ = 447690240. Its totient is φ = 365803200.

The previous prime is 404972263. The next prime is 404972329. The reversal of 404972327 is 723279404.

It is not a de Polignac number, because 404972327 - 26 = 404972263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404972329) 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 23 ways as a sum of consecutive naturals, for example, 1057178 + ... + 1057560.

It is an arithmetic number, because the mean of its divisors is an integer number (18653760).

Almost surely, 2404972327 is an apocalyptic number.

404972327 is a deficient number, since it is larger than the sum of its proper divisors (42717913).

404972327 is a wasteful number, since it uses less digits than its factorization.

404972327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 404972327 is about 20123.9242445404. The cubic root of 404972327 is about 739.8467706840.

It can be divided in two parts, 40497 and 2327, that added together give a palindrome (42824).

The spelling of 404972327 in words is "four hundred four million, nine hundred seventy-two thousand, three hundred twenty-seven".

Divisors: 1 19 29 101 361 383 551 1919 2929 7277 10469 11107 36461 38683 55651 138263 211033 734977 1057369 1121807 4009627 13964563 21314333 404972327