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42718935 = 357319223
BaseRepresentation
bin1010001011110…
…1011011010111
32222101100100210
42202331123113
541414001220
64123340503
71026051000
oct242753327
988340323
1042718935
1122128406
1212381733
138b0929c
1459601a7
153b3c6e0
hex28bd6d7

42718935 has 96 divisors (see below), whose sum is σ = 87782400. Its totient is φ = 17696448.

The previous prime is 42718927. The next prime is 42718967. The reversal of 42718935 is 53981724.

It is not a de Polignac number, because 42718935 - 23 = 42718927 is a prime.

Its product of digits (60480) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 42718893 and 42718902.

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, 1857334 + ... + 1857356.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 242718935 is an apocalyptic number.

42718935 is an abundant number, since it is smaller than the sum of its proper divisors (45063465).

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

42718935 is a wasteful number, since it uses less digits than its factorization.

42718935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 42718935 is about 6535.9723836626. The cubic root of 42718935 is about 349.5748170266.

The spelling of 42718935 in words is "forty-two million, seven hundred eighteen thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 23 35 49 57 69 95 105 115 133 147 161 245 285 343 345 361 399 437 483 665 735 805 931 1029 1083 1127 1311 1715 1805 1995 2185 2415 2527 2793 3059 3381 4655 5145 5415 5635 6517 6555 7581 7889 8303 9177 12635 13965 15295 16905 17689 19551 21413 23667 24909 32585 37905 39445 41515 45885 53067 58121 64239 88445 97755 107065 118335 123823 124545 149891 174363 265335 290605 321195 371469 406847 449673 619115 749455 871815 1220541 1857345 2034235 2248365 2847929 6102705 8543787 14239645 42718935