Search a number
-
+
42043482 = 23313217271
BaseRepresentation
bin1010000001100…
…0100001011010
32221010000211000
42200120201122
541230342412
64101045430
71020235515
oct240304132
987100730
1042043482
1121806988
12120b6876
138930a00
145825d7c
153a574dc
hex281885a

42043482 has 96 divisors (see below), whose sum is σ = 107516160. Its totient is φ = 12130560.

The previous prime is 42043481. The next prime is 42043483. The reversal of 42043482 is 28434024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42043481) and next prime (42043483).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42043481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155007 + ... + 155277.

It is an arithmetic number, because the mean of its divisors is an integer number (1119960).

Almost surely, 242043482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42043482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758080).

42043482 is an abundant number, since it is smaller than the sum of its proper divisors (65472678).

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

42043482 is a wasteful number, since it uses less digits than its factorization.

42043482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42043482 is about 6484.0945397179. The cubic root of 42043482 is about 347.7225791404.

The spelling of 42043482 in words is "forty-two million, forty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 221 234 271 306 338 351 442 459 507 542 663 702 813 918 1014 1326 1521 1626 1989 2439 2873 3042 3523 3978 4563 4607 4878 5746 5967 7046 7317 8619 9126 9214 10569 11934 13821 14634 17238 21138 25857 27642 31707 41463 45799 51714 59891 63414 77571 82926 91598 95121 119782 124389 137397 155142 179673 190242 248778 274794 359346 412191 539019 778583 824382 1078038 1236573 1557166 1617057 2335749 2473146 3234114 4671498 7007247 14014494 21021741 42043482