Search a number
-
+
412003144 = 237193112491
BaseRepresentation
bin11000100011101…
…010101101001000
31001201020221001201
4120203222231020
51320433100034
6104514353544
713131653230
oct3043525510
91051227051
10412003144
111a1624073
12b5b8b8b4
1367484b57
143ca0acc0
1526285014
hex188eab48

412003144 has 64 divisors (see below), whose sum is σ = 959385600. Its totient is φ = 161870400.

The previous prime is 412003129. The next prime is 412003169. The reversal of 412003144 is 441300214.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26739 + ... + 39229.

It is an arithmetic number, because the mean of its divisors is an integer number (14990400).

Almost surely, 2412003144 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 412003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479692800).

412003144 is an abundant number, since it is smaller than the sum of its proper divisors (547382456).

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

412003144 is a wasteful number, since it uses less digits than its factorization.

412003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 412003144 is about 20297.8605769180. The cubic root of 412003144 is about 744.1037788329.

Adding to 412003144 its reverse (441300214), we get a palindrome (853303358).

It can be divided in two parts, 41200 and 3144, that added together give a palindrome (44344).

The spelling of 412003144 in words is "four hundred twelve million, three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4712 8246 12491 16492 24982 32984 49964 87437 99928 174874 237329 349748 387221 474658 699496 774442 949316 1548884 1661303 1898632 2710547 3097768 3322606 5421094 6645212 7357199 10842188 13290424 14714398 21684376 29428796 51500393 58857592 103000786 206001572 412003144