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404122432 = 267929971
BaseRepresentation
bin11000000101100…
…110101101000000
31001011102112202111
4120011212231000
51311423404212
6104033425104
713004661340
oct3005465500
91034375674
10404122432
1119813118a
12b340b194
1365955acc
143b958d20
1525729ea7
hex18166b40

404122432 has 56 divisors (see below), whose sum is σ = 918423360. Its totient is φ = 172830720.

The previous prime is 404122429. The next prime is 404122529. The reversal of 404122432 is 234221404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415707 + ... + 416677.

Almost surely, 2404122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459211680).

404122432 is an abundant number, since it is smaller than the sum of its proper divisors (514300928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404122432 is an equidigital number, since it uses as much as digits as its factorization.

404122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 404122432 is about 20102.7966213659. The cubic root of 404122432 is about 739.3288485001.

Adding to 404122432 its reverse (234221404), we get a palindrome (638343836).

The spelling of 404122432 in words is "four hundred four million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 929 971 1858 1942 3716 3884 6503 6797 7432 7768 13006 13594 14864 15536 26012 27188 29728 31072 52024 54376 59456 62144 104048 108752 208096 217504 416192 435008 902059 1804118 3608236 6314413 7216472 12628826 14432944 25257652 28865888 50515304 57731776 101030608 202061216 404122432