Search a number
-
+
42055125 = 353737433
BaseRepresentation
bin1010000001101…
…1010111010101
32221010121210020
42200123113111
541231231000
64101215353
71020314460
oct240332725
987117706
1042055125
1121814702
1212101559
1389360b8
14582a2d7
153a5aba0
hex281b5d5

42055125 has 64 divisors (see below), whose sum is σ = 82328064. Its totient is φ = 18662400.

The previous prime is 42055121. The next prime is 42055147. The reversal of 42055125 is 52155024.

It is a happy number.

42055125 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 42055125 - 22 = 42055121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42055095 and 42055104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42055121) 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 63 ways as a sum of consecutive naturals, for example, 96909 + ... + 97341.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 242055125 is an apocalyptic number.

It is an amenable number.

42055125 is a deficient number, since it is larger than the sum of its proper divisors (40272939).

42055125 is a wasteful number, since it uses less digits than its factorization.

42055125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 42055125 is about 6484.9922898952. The cubic root of 42055125 is about 347.7546741695.

The spelling of 42055125 in words is "forty-two million, fifty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 37 75 105 111 125 175 185 259 375 433 525 555 777 875 925 1295 1299 2165 2625 2775 3031 3885 4625 6475 6495 9093 10825 13875 15155 16021 19425 32375 32475 45465 48063 54125 75775 80105 97125 112147 162375 227325 240315 336441 378875 400525 560735 1136625 1201575 1682205 2002625 2803675 6007875 8411025 14018375 42055125