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42136325 = 5272115359
BaseRepresentation
bin1010000010111…
…1001100000101
32221021202011122
42200233030011
541241330300
64103043325
71021103300
oct240571405
987252148
1042136325
112186a710
1212140545
13896404a
14584bb37
153a74c85
hex282f305

42136325 has 72 divisors (see below), whose sum is σ = 68700960. Its totient is φ = 25334400.

The previous prime is 42136307. The next prime is 42136327. The reversal of 42136325 is 52363124.

It is not a de Polignac number, because 42136325 - 26 = 42136261 is a prime.

Its product of digits (4320) is a multiple of the sum of its prime divisors (135).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42136294 and 42136303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42136327) 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 71 ways as a sum of consecutive naturals, for example, 714146 + ... + 714204.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 242136325 is an apocalyptic number.

It is an amenable number.

42136325 is a deficient number, since it is larger than the sum of its proper divisors (26564635).

42136325 is a wasteful number, since it uses less digits than its factorization.

42136325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 42136325 is about 6491.2498796457. The cubic root of 42136325 is about 347.9783450875.

Adding to 42136325 its reverse (52363124), we get a palindrome (94499449).

The spelling of 42136325 in words is "forty-two million, one hundred thirty-six thousand, three hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 53 55 59 77 175 245 265 275 295 371 385 413 539 583 649 1225 1325 1475 1855 1925 2065 2597 2695 2891 2915 3127 3245 4081 4543 9275 10325 12985 13475 14455 14575 15635 16225 20405 21889 22715 28567 31801 34397 64925 72275 78175 102025 109445 113575 142835 153223 159005 171985 240779 547225 714175 766115 795025 859925 1203895 1685453 3830575 6019475 8427265 42136325