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42145125 = 3531117601
BaseRepresentation
bin1010000011000…
…1010101100101
32221022012020120
42200301111211
541242121000
64103152153
71021141041
oct240612545
987265216
1042145125
1121876290
1212145659
138968059
145851021
153a776a0
hex2831565

42145125 has 64 divisors (see below), whose sum is σ = 81139968. Its totient is φ = 19200000.

The previous prime is 42145099. The next prime is 42145127. The reversal of 42145125 is 52154124.

It is not a de Polignac number, because 42145125 - 211 = 42143077 is a prime.

It is a super-2 number, since 2×421451252 = 3552423122531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42145095 and 42145104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42145127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69825 + ... + 70425.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 242145125 is an apocalyptic number.

It is an amenable number.

42145125 is a deficient number, since it is larger than the sum of its proper divisors (38994843).

42145125 is a wasteful number, since it uses less digits than its factorization.

42145125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 637 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 42145125 is about 6491.9276798190. The cubic root of 42145125 is about 348.0025680217.

Adding to 42145125 its reverse (52154124), we get a palindrome (94299249).

It can be divided in two parts, 4214 and 5125, that added together give a palindrome (9339).

The spelling of 42145125 in words is "forty-two million, one hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 125 165 187 255 275 375 425 561 601 825 935 1275 1375 1803 2125 2805 3005 4125 4675 6375 6611 9015 10217 14025 15025 19833 23375 30651 33055 45075 51085 70125 75125 99165 112387 153255 165275 225375 255425 337161 495825 561935 766275 826375 1277125 1685805 2479125 2809675 3831375 8429025 14048375 42145125