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404424256 = 2629217901
BaseRepresentation
bin11000000110110…
…000011001000000
31001011222212210011
4120012300121000
51312013034011
6104044114304
713010356315
oct3006603100
91034885704
10404424256
11198317a25
12b3535994
1365a302c2
143b9d6d0c
1525789621
hex181b0640

404424256 has 28 divisors (see below), whose sum is σ = 830206620. Its totient is φ = 195238400.

The previous prime is 404424217. The next prime is 404424259. The reversal of 404424256 is 652424404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81000000 + 323424256 = 9000^2 + 17984^2 .

It is not an unprimeable number, because it can be changed into a prime (404424259) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107095 + ... + 110806.

Almost surely, 2404424256 is an apocalyptic number.

It is an amenable number.

404424256 is an abundant number, since it is smaller than the sum of its proper divisors (425782364).

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

404424256 is a wasteful number, since it uses less digits than its factorization.

404424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217942 (or 217932 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 404424256 is about 20110.3022354215. The cubic root of 404424256 is about 739.5128617613.

The spelling of 404424256 in words is "four hundred four million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 217901 435802 871604 1743208 3486416 6319129 6972832 12638258 13945664 25276516 50553032 101106064 202212128 404424256