Search a number
-
+
42103125 = 3355499
BaseRepresentation
bin1010000010011…
…1000101010101
32221020001122000
42200213011111
541234300000
64102225513
71020604431
oct240470525
987201560
1042103125
1121847779
1212125299
138951bbc
14583d9c1
153a6a000
hex2827155

42103125 has 48 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 22410000.

The previous prime is 42103123. The next prime is 42103153. The reversal of 42103125 is 52130124.

It is not a de Polignac number, because 42103125 - 21 = 42103123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42103098 and 42103107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42103123) 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 47 ways as a sum of consecutive naturals, for example, 84126 + ... + 84624.

It is an arithmetic number, because the mean of its divisors is an integer number (1627500).

Almost surely, 242103125 is an apocalyptic number.

42103125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42103125 is a deficient number, since it is larger than the sum of its proper divisors (36016875).

42103125 is an frugal number, since it uses more digits than its factorization.

42103125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42103125 is about 6488.6920870080. The cubic root of 42103125 is about 347.8869281875.

Adding to 42103125 its reverse (52130124), we get a palindrome (94233249).

The spelling of 42103125 in words is "forty-two million, one hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 499 625 675 1125 1497 1875 2495 3125 3375 4491 5625 7485 9375 12475 13473 16875 22455 28125 37425 62375 67365 84375 112275 187125 311875 336825 561375 935625 1559375 1684125 2806875 4678125 8420625 14034375 42103125