Search a number
-
+
42186612 = 223131943331
BaseRepresentation
bin1010000011101…
…1011101110100
32221101022011010
42200323131310
541244432422
64104112220
71021403016
oct240733564
987338133
1042186612
11218a4476
1212165670
138980bc0
1458621b6
153a84b0c
hex283b774

42186612 has 96 divisors (see below), whose sum is σ = 114526720. Its totient is φ = 11975040.

The previous prime is 42186611. The next prime is 42186643. The reversal of 42186612 is 21668124.

It is a self number, because there is not a number n which added to its sum of digits gives 42186612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42186611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127287 + ... + 127617.

Almost surely, 242186612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42186612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57263360).

42186612 is an abundant number, since it is smaller than the sum of its proper divisors (72340108).

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

42186612 is a wasteful number, since it uses less digits than its factorization.

42186612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 42186612 is about 6495.1221697517. The cubic root of 42186612 is about 348.1167199966.

The spelling of 42186612 in words is "forty-two million, one hundred eighty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 43 52 57 76 78 86 114 129 156 172 228 247 258 331 494 516 559 662 741 817 988 993 1118 1324 1482 1634 1677 1986 2236 2451 2964 3268 3354 3972 4303 4902 6289 6708 8606 9804 10621 12578 12909 14233 17212 18867 21242 25156 25818 28466 31863 37734 42484 42699 51636 56932 63726 75468 81757 85398 127452 163514 170796 185029 245271 270427 327028 370058 490542 540854 555087 740116 811281 981084 1081708 1110174 1622562 2220348 3245124 3515551 7031102 10546653 14062204 21093306 42186612