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42709590 = 23257116163
BaseRepresentation
bin1010001011101…
…1001001010110
32222100212112200
42202323021112
541413201330
64123225330
71026011520
oct242731126
988325480
1042709590
1122121390
1212378246
138b04c61
14595aa10
153b39a60
hex28bb256

42709590 has 96 divisors (see below), whose sum is σ = 138468096. Its totient is φ = 8873280.

The previous prime is 42709543. The next prime is 42709607. The reversal of 42709590 is 9590724.

42709590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3849 + ... + 10011.

It is an arithmetic number, because the mean of its divisors is an integer number (1442376).

Almost surely, 242709590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42709590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69234048).

42709590 is an abundant number, since it is smaller than the sum of its proper divisors (95758506).

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

42709590 is a wasteful number, since it uses less digits than its factorization.

42709590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 42709590 is about 6535.2574547603. The cubic root of 42709590 is about 349.5493247018.

The spelling of 42709590 in words is "forty-two million, seven hundred nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6163 6930 12326 18489 30815 36978 43141 55467 61630 67793 86282 92445 110934 129423 135586 184890 203379 215705 258846 277335 338965 388269 406758 431410 474551 554670 610137 647115 677930 776538 949102 1016895 1220274 1294230 1423653 1941345 2033790 2372755 2847306 3050685 3882690 4270959 4745510 6101370 7118265 8541918 14236530 21354795 42709590