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424212 = 223232953
BaseRepresentation
bin1100111100100010100
3210112220120
41213210110
5102033322
613031540
73414525
oct1474424
9715816
10424212
1126a798
121855b0
1311b119
14b084c
1585a5c
hex67914

424212 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 128128.

The previous prime is 424199. The next prime is 424223. The reversal of 424212 is 212424.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 424191 and 424200.

It is a congruent number.

It is an unprimeable number.

424212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7978 + ... + 8030.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2424212 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 424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

424212 is an abundant number, since it is smaller than the sum of its proper divisors (664428).

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

424212 is a wasteful number, since it uses less digits than its factorization.

424212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 424212 is about 651.3155917065. The cubic root of 424212 is about 75.1382339507.

Adding to 424212 its reverse (212424), we get a palindrome (636636).

It can be divided in two parts, 424 and 212, that added together give a palindrome (636).

The spelling of 424212 in words is "four hundred twenty-four thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 23 29 46 53 58 69 87 92 106 116 138 159 174 212 276 318 348 636 667 1219 1334 1537 2001 2438 2668 3074 3657 4002 4611 4876 6148 7314 8004 9222 14628 18444 35351 70702 106053 141404 212106 424212