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42086982 = 2372375373
BaseRepresentation
bin1010000010001…
…1001001000110
32221012020111010
42200203021012
541233240412
64102023050
71020506400
oct240431106
987166433
1042086982
1121836633
1212117a86
138947752
145837b70
153a6533c
hex2823246

42086982 has 96 divisors (see below), whose sum is σ = 103864032. Its totient is φ = 11321856.

The previous prime is 42086969. The next prime is 42087029. The reversal of 42086982 is 28968024.

It is a self number, because there is not a number n which added to its sum of digits gives 42086982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576498 + ... + 576570.

It is an arithmetic number, because the mean of its divisors is an integer number (1081917).

Almost surely, 242086982 is an apocalyptic number.

42086982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42086982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51932016).

42086982 is an abundant number, since it is smaller than the sum of its proper divisors (61777050).

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

42086982 is a wasteful number, since it uses less digits than its factorization.

42086982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 42086982 is about 6487.4480344740. The cubic root of 42086982 is about 347.8424607315.

The spelling of 42086982 in words is "forty-two million, eighty-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 53 73 74 98 106 111 146 147 159 219 222 259 294 318 371 438 511 518 742 777 1022 1113 1533 1554 1813 1961 2226 2597 2701 3066 3577 3626 3869 3922 5194 5402 5439 5883 7154 7738 7791 8103 10731 10878 11607 11766 13727 15582 16206 18907 21462 23214 27083 27454 37814 41181 54166 56721 81249 82362 96089 113442 132349 143153 162498 189581 192178 264698 286306 288267 379162 397047 429459 568743 576534 794094 858918 1002071 1137486 2004142 3006213 6012426 7014497 14028994 21043491 42086982