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412443424 = 2547674093
BaseRepresentation
bin11000100101010…
…110001100100000
31001202002022000101
4120211112030200
51321041142144
6104532032144
713135465651
oct3045261440
91052068011
10412443424
111a18a4938
12b6162654
13675aa383
143cac3528
15263206d4
hex18956320

412443424 has 48 divisors (see below), whose sum is σ = 841857408. Its totient is φ = 198772992.

The previous prime is 412443419. The next prime is 412443439. The reversal of 412443424 is 424344214.

It is a junction number, because it is equal to n+sod(n) for n = 412443392 and 412443401.

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, 98722 + ... + 102814.

It is an arithmetic number, because the mean of its divisors is an integer number (17538696).

Almost surely, 2412443424 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 412443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420928704).

412443424 is an abundant number, since it is smaller than the sum of its proper divisors (429413984).

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

412443424 is a wasteful number, since it uses less digits than its factorization.

412443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4209 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 412443424 is about 20308.7031589907. The cubic root of 412443424 is about 744.3687423298.

Adding to 412443424 its reverse (424344214), we get a palindrome (836787638).

The spelling of 412443424 in words is "four hundred twelve million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 67 94 134 188 268 376 536 752 1072 1504 2144 3149 4093 6298 8186 12596 16372 25192 32744 50384 65488 100768 130976 192371 274231 384742 548462 769484 1096924 1538968 2193848 3077936 4387696 6155872 8775392 12888857 25777714 51555428 103110856 206221712 412443424