Search a number
-
+
42742056 = 23372931283
BaseRepresentation
bin1010001100001…
…1000100101000
32222102112002010
42203003010220
541420221211
64124035520
71026205260
oct243030450
988375063
1042742056
1122143815
1212392ba0
138b16976
1459687a0
153b444a6
hex28c3128

42742056 has 128 divisors (see below), whose sum is σ = 130867200. Its totient is φ = 11370240.

The previous prime is 42742031. The next prime is 42742069. The reversal of 42742056 is 65024724.

It is a super-2 number, since 2×427420562 = 3653766702214272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150891 + ... + 151173.

It is an arithmetic number, because the mean of its divisors is an integer number (1022400).

Almost surely, 242742056 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 42742056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65433600).

42742056 is an abundant number, since it is smaller than the sum of its proper divisors (88125144).

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

42742056 is a wasteful number, since it uses less digits than its factorization.

42742056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42742056 is about 6537.7408942233. The cubic root of 42742056 is about 349.6378730742.

The spelling of 42742056 in words is "forty-two million, seven hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 283 348 372 406 434 566 609 651 696 744 812 849 868 899 1132 1218 1302 1624 1698 1736 1798 1981 2264 2436 2604 2697 3396 3596 3962 4872 5208 5394 5943 6293 6792 7192 7924 8207 8773 10788 11886 12586 15848 16414 17546 18879 21576 23772 24621 25172 26319 32828 35092 37758 47544 49242 50344 52638 57449 61411 65656 70184 75516 98484 105276 114898 122822 151032 172347 184233 196968 210552 229796 245644 254417 344694 368466 459592 491288 508834 689388 736932 763251 1017668 1378776 1473864 1526502 1780919 2035336 3053004 3561838 5342757 6106008 7123676 10685514 14247352 21371028 42742056