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42024125 = 5311132351
BaseRepresentation
bin1010000001001…
…1110010111101
32221002001021002
42200103302331
541224233000
64100420045
71020125213
oct240236275
987061232
1042024125
11217a3390
12120a7625
138924c60
14581ccb3
153a518d5
hex2813cbd

42024125 has 32 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 28200000.

The previous prime is 42024121. The next prime is 42024133. The reversal of 42024125 is 52142024.

It is a happy number.

42024125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42024125 - 22 = 42024121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42024097 and 42024106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16700 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 242024125 is an apocalyptic number.

It is an amenable number.

42024125 is a deficient number, since it is larger than the sum of its proper divisors (19617091).

42024125 is a wasteful number, since it uses less digits than its factorization.

42024125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 42024125 is about 6482.6017153609. The cubic root of 42024125 is about 347.6692066248.

Adding to 42024125 its reverse (52142024), we get a palindrome (94166149).

The spelling of 42024125 in words is "forty-two million, twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 125 143 275 325 715 1375 1625 2351 3575 11755 17875 25861 30563 58775 129305 152815 293875 336193 646525 764075 1680965 3232625 3820375 8404825 42024125