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42132315 = 3573109353
BaseRepresentation
bin1010000010111…
…0001101011011
32221021112200010
42200232031123
541241213230
64103013003
71021055511
oct240561533
987245603
1042132315
11218676a5
121213a163
138962284
14584a4b1
153a739b0
hex282e35b

42132315 has 32 divisors (see below), whose sum is σ = 69157440. Its totient is φ = 21897216.

The previous prime is 42132227. The next prime is 42132319. The reversal of 42132315 is 51323124.

42132315 = 1412 + 1422 + ... + 5052.

42132315 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 42132315 - 27 = 42132187 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42132291 and 42132300.

It is not an unprimeable number, because it can be changed into a prime (42132319) 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, 119179 + ... + 119531.

It is an arithmetic number, because the mean of its divisors is an integer number (2161170).

Almost surely, 242132315 is an apocalyptic number.

42132315 is a deficient number, since it is larger than the sum of its proper divisors (27025125).

42132315 is a wasteful number, since it uses less digits than its factorization.

42132315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its digits is 720, while the sum is 21.

The square root of 42132315 is about 6490.9409949560. The cubic root of 42132315 is about 347.9673060183.

Adding to 42132315 its reverse (51323124), we get a palindrome (93455439).

The spelling of 42132315 in words is "forty-two million, one hundred thirty-two thousand, three hundred fifteen".

Divisors: 1 3 5 15 73 109 219 327 353 365 545 1059 1095 1635 1765 5295 7957 23871 25769 38477 39785 77307 115431 119355 128845 192385 386535 577155 2808821 8426463 14044105 42132315