Search a number
-
+
42984942 = 237111317421
BaseRepresentation
bin1010001111111…
…0010111101110
32222212212020220
42203332113232
542001004232
64133152210
71031236350
oct243762756
988785226
1042984942
112229a250
121248b666
138ba03a0
1459cd0d0
153b9142c
hex28fe5ee

42984942 has 128 divisors (see below), whose sum is σ = 122508288. Its totient is φ = 9676800.

The previous prime is 42984937. The next prime is 42984943. The reversal of 42984942 is 24948924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42984894 and 42984903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42984943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101892 + ... + 102312.

It is an arithmetic number, because the mean of its divisors is an integer number (957096).

Almost surely, 242984942 is an apocalyptic number.

42984942 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 42984942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61254144).

42984942 is an abundant number, since it is smaller than the sum of its proper divisors (79523346).

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

42984942 is a wasteful number, since it uses less digits than its factorization.

42984942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its digits is 165888, while the sum is 42.

The square root of 42984942 is about 6556.2902620308. The cubic root of 42984942 is about 350.2989065603.

The spelling of 42984942 in words is "forty-two million, nine hundred eighty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 421 429 442 462 546 561 663 714 842 858 1001 1122 1263 1309 1326 1547 2002 2431 2526 2618 2947 3003 3094 3927 4631 4641 4862 5473 5894 6006 7157 7293 7854 8841 9262 9282 10946 13893 14314 14586 16419 17017 17682 21471 27786 32417 32838 34034 38311 42942 50099 51051 60203 64834 76622 78727 93041 97251 100198 102102 114933 120406 150297 157454 180609 186082 194502 229866 236181 279123 300594 361218 421421 472362 551089 558246 651287 842842 1023451 1102178 1264263 1302574 1653267 1953861 2046902 2528526 3070353 3306534 3907722 6140706 7164157 14328314 21492471 42984942