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4212124 = 227178849
BaseRepresentation
bin10000000100010110011100
321220222221121
4100010112130
52034241444
6230140324
750542150
oct20042634
97828847
104212124
1124176a4
1214b16a4
13b462a7
147b9060
15583084
hex40459c

4212124 has 24 divisors (see below), whose sum is σ = 8920800. Its totient is φ = 1698816.

The previous prime is 4212121. The next prime is 4212127.

4212124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4212121) and next prime (4212127).

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 = 4212098 and 4212107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3949 + ... + 4900.

It is an arithmetic number, because the mean of its divisors is an integer number (371700).

Almost surely, 24212124 is an apocalyptic number.

It is an amenable number.

4212124 is an abundant number, since it is smaller than the sum of its proper divisors (4708676).

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

4212124 is a wasteful number, since it uses less digits than its factorization.

4212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8875 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 4212124 is about 2052.3459747323. The cubic root of 4212124 is about 161.4979631485.

The spelling of 4212124 in words is "four million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 8849 17698 35396 61943 123886 150433 247772 300866 601732 1053031 2106062 4212124