Search a number
-
+
412126632 = 233216973373
BaseRepresentation
bin11000100100001…
…000110110101000
31001201111012110100
4120210020312220
51321001023012
6104521145400
713133006241
oct3044106650
91051435410
10412126632
111a16a8925
12b602b260
13674c9118
143ca3dcc8
15262ab8dc
hex18908da8

412126632 has 48 divisors (see below), whose sum is σ = 1117165140. Its totient is φ = 137253888.

The previous prime is 412126607. The next prime is 412126639. The reversal of 412126632 is 236621214.

412126632 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 26 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266538276 + 145588356 = 16326^2 + 12066^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412126596 and 412126605.

It is not an unprimeable number, because it can be changed into a prime (412126639) 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 11 ways as a sum of consecutive naturals, for example, 120498 + ... + 123870.

Almost surely, 2412126632 is an apocalyptic number.

It is an amenable number.

412126632 is an abundant number, since it is smaller than the sum of its proper divisors (705038508).

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

412126632 is a wasteful number, since it uses less digits than its factorization.

412126632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5075 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 412126632 is about 20300.9022459594. The cubic root of 412126632 is about 744.1781137904.

Adding to 412126632 its reverse (236621214), we get a palindrome (648747846).

The spelling of 412126632 in words is "four hundred twelve million, one hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1697 3373 3394 5091 6746 6788 10119 10182 13492 13576 15273 20238 20364 26984 30357 30546 40476 40728 60714 61092 80952 121428 122184 242856 5723981 11447962 17171943 22895924 34343886 45791848 51515829 68687772 103031658 137375544 206063316 412126632