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4217124 = 223351427
BaseRepresentation
bin10000000101100100100100
321221020210210
4100011210210
52034421444
6230215420
750562552
oct20054444
97836723
104217124
11242042a
1214b4570
13b48652
147babd2
155847b9
hex405924

4217124 has 12 divisors (see below), whose sum is σ = 9839984. Its totient is φ = 1405704.

The previous prime is 4217117. The next prime is 4217131.

It is a happy number.

4217124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4217117) and next prime (4217131).

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 4217124.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 175702 + ... + 175725.

Almost surely, 24217124 is an apocalyptic number.

It is an amenable number.

4217124 is an abundant number, since it is smaller than the sum of its proper divisors (5622860).

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

4217124 is a wasteful number, since it uses less digits than its factorization.

4217124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351434 (or 351432 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 4217124 is about 2053.5637316626. The cubic root of 4217124 is about 161.5618399097.

It can be divided in two parts, 42171 and 24, that added together give a triangular number (42195 = T290).

The spelling of 4217124 in words is "four million, two hundred seventeen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 351427 702854 1054281 1405708 2108562 4217124