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4212819 = 321336007
BaseRepresentation
bin10000000100100001010011
321221000220100
4100010201103
52034302234
6230143443
750544162
oct20044123
97830810
104212819
112418176
1214b1b83
13b466c0
147b93d9
15583399
hex404853

4212819 has 12 divisors (see below), whose sum is σ = 6553456. Its totient is φ = 2592432.

The previous prime is 4212799. The next prime is 4212827. The reversal of 4212819 is 9182124.

It is not a de Polignac number, because 4212819 - 215 = 4180051 is a prime.

It is a super-2 number, since 2×42128192 = 35495687853522, which contains 22 as substring.

It is a d-powerful number, because it can be written as 47 + 211 + 1 + 221 + 87 + 1 + 92 .

It is a junction number, because it is equal to n+sod(n) for n = 4212792 and 4212801.

It is not an unprimeable number, because it can be changed into a prime (4212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17887 + ... + 18120.

Almost surely, 24212819 is an apocalyptic number.

4212819 is a deficient number, since it is larger than the sum of its proper divisors (2340637).

4212819 is a wasteful number, since it uses less digits than its factorization.

4212819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36026 (or 36023 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4212819 is about 2052.5152861794. The cubic root of 4212819 is about 161.5068450421.

It can be divided in two parts, 421 and 2819, that added together give a triangular number (3240 = T80).

The spelling of 4212819 in words is "four million, two hundred twelve thousand, eight hundred nineteen".

Divisors: 1 3 9 13 39 117 36007 108021 324063 468091 1404273 4212819