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42424 = 235303
BaseRepresentation
bin1010010110111000
32011012021
422112320
52324144
6524224
7234454
oct122670
964167
1042424
1129968
1220674
1316405
1411664
15c884
hexa5b8

42424 has 8 divisors (see below), whose sum is σ = 79560. Its totient is φ = 21208.

The previous prime is 42409. The next prime is 42433.

42424 is nontrivially palindromic in base 10.

42424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

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

42424 is an undulating number in base 10.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42398 and 42407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2644 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (9945).

242424 is an apocalyptic number.

It is an amenable number.

42424 is a deficient number, since it is larger than the sum of its proper divisors (37136).

42424 is a wasteful number, since it uses less digits than its factorization.

42424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5305 counting only the distinct ones).

The product of its digits is 256, while the sum is 16.

The square root of 42424 is about 205.9708717270. The cubic root of 42424 is about 34.8768460802.

The spelling of 42424 in words is "forty-two thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 5303 10606 21212 42424