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42107175 = 33521153107
BaseRepresentation
bin1010000010100…
…0000100100111
32221020021012000
42200220010213
541234412200
64102300343
71020622305
oct240500447
987207160
1042107175
112184a820
12121276b3
1389539b6
145841275
153a6b300
hex2828127

42107175 has 96 divisors (see below), whose sum is σ = 86780160. Its totient is φ = 19843200.

The previous prime is 42107129. The next prime is 42107239. The reversal of 42107175 is 57170124.

It is not a de Polignac number, because 42107175 - 26 = 42107111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393472 + ... + 393578.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 242107175 is an apocalyptic number.

42107175 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42107175 is an abundant number, since it is smaller than the sum of its proper divisors (44672985).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42107175 is a wasteful number, since it uses less digits than its factorization.

42107175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 42107175 is about 6489.0041608863. The cubic root of 42107175 is about 347.8980825209.

Adding to 42107175 its reverse (57170124), we get a palindrome (99277299).

The spelling of 42107175 in words is "forty-two million, one hundred seven thousand, one hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 53 55 75 99 107 135 159 165 225 265 275 297 321 477 495 535 583 675 795 825 963 1177 1325 1431 1485 1605 1749 2385 2475 2675 2889 2915 3531 3975 4815 5247 5671 5885 7155 7425 8025 8745 10593 11925 14445 14575 15741 17013 17655 24075 26235 28355 29425 31779 35775 43725 51039 52965 62381 72225 78705 85065 88275 131175 141775 153117 158895 187143 255195 264825 311905 393525 425325 561429 765585 794475 935715 1275975 1559525 1684287 2807145 3827925 4678575 8421435 14035725 42107175