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42675732 = 223211297101
BaseRepresentation
bin1010001011001…
…0111000010100
32222022011002200
42202302320110
541411110412
64122404500
71025511021
oct242627024
988264080
1042675732
11220a8a00
1212360730
138ac2718
14594c548
153b2e9dc
hex28b2e14

42675732 has 108 divisors (see below), whose sum is σ = 120981588. Its totient is φ = 12672000.

The previous prime is 42675719. The next prime is 42675769. The reversal of 42675732 is 23757624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32216976 + 10458756 = 5676^2 + 3234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422482 + ... + 422582.

Almost surely, 242675732 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 42675732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60490794).

42675732 is an abundant number, since it is smaller than the sum of its proper divisors (78305856).

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

42675732 is a wasteful number, since it uses less digits than its factorization.

42675732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42675732 is about 6532.6665305984. Note that the first 3 decimals coincide. The cubic root of 42675732 is about 349.4569319486.

It can be divided in two parts, 4267 and 5732, that added together give a palindrome (9999).

The spelling of 42675732 in words is "forty-two million, six hundred seventy-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 101 121 132 194 198 202 242 291 303 363 388 396 404 484 582 606 726 873 909 1067 1089 1111 1164 1212 1452 1746 1818 2134 2178 2222 3201 3333 3492 3636 4268 4356 4444 6402 6666 9603 9797 9999 11737 12221 12804 13332 19206 19594 19998 23474 24442 29391 35211 36663 38412 39188 39996 46948 48884 58782 70422 73326 88173 105633 107767 109989 117564 140844 146652 176346 211266 215534 219978 323301 352692 422532 431068 439956 646602 969903 1185437 1293204 1939806 2370874 3556311 3879612 4741748 7112622 10668933 14225244 21337866 42675732