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404390129 = 11132191072
BaseRepresentation
bin11000000110101…
…000000011110001
31001011221010222012
4120012220003301
51312010441004
6104043252305
713010154653
oct3006500361
91034833865
10404390129
111982a4320
12b351a095
1365a1a900
143b9c86d3
152577e46e
hex181a80f1

404390129 has 36 divisors (see below), whose sum is σ = 507583440. Its totient is φ = 318483360.

The previous prime is 404390111. The next prime is 404390141. The reversal of 404390129 is 921093404.

It is a happy number.

It is not a de Polignac number, because 404390129 - 212 = 404386033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404390095 and 404390104.

It is not an unprimeable number, because it can be changed into a prime (404390149) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3779294 + ... + 3779400.

It is an arithmetic number, because the mean of its divisors is an integer number (14099540).

Almost surely, 2404390129 is an apocalyptic number.

It is an amenable number.

404390129 is a deficient number, since it is larger than the sum of its proper divisors (103193311).

404390129 is a wasteful number, since it uses less digits than its factorization.

404390129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 404390129 is about 20109.4537220681. The cubic root of 404390129 is about 739.4920601197.

The spelling of 404390129 in words is "four hundred four million, three hundred ninety thousand, one hundred twenty-nine".

Divisors: 1 11 13 19 107 143 169 209 247 1177 1391 1859 2033 2717 3211 11449 15301 18083 22363 26429 35321 125939 148837 198913 217531 290719 343577 1637207 1934881 2392841 2827903 3779347 21283691 31106933 36762739 404390129