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40063842 = 23371331263
BaseRepresentation
bin1001100011010…
…1001101100010
32210101110021000
42120311031202
540224020332
63550412430
7664352130
oct230651542
983343230
1040063842
1120684615
1211501116
1383b9920
14546c750
1537b5b7c
hex2635362

40063842 has 128 divisors (see below), whose sum is σ = 113541120. Its totient is φ = 10186560.

The previous prime is 40063759. The next prime is 40063843. The reversal of 40063842 is 24836004.

40063842 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×400638422 = 3210222871601928, which contains 22 as substring.

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 (40063843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152203 + ... + 152465.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 240063842 is an apocalyptic number.

40063842 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 40063842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770560).

40063842 is an abundant number, since it is smaller than the sum of its proper divisors (73477278).

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

40063842 is a wasteful number, since it uses less digits than its factorization.

40063842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40063842 is about 6329.6004613246. The cubic root of 40063842 is about 342.1770397628.

Adding to 40063842 its reverse (24836004), we get a palindrome (64899846).

The spelling of 40063842 in words is "forty million, sixty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 263 273 279 351 378 403 434 526 546 558 651 702 789 806 819 837 1209 1302 1578 1638 1674 1841 1953 2367 2418 2457 2821 3419 3627 3682 3906 4734 4914 5523 5642 5859 6838 7101 7254 8153 8463 10257 10881 11046 11718 14202 16306 16569 16926 20514 21762 23933 24459 25389 30771 33138 47866 48918 49707 50778 57071 61542 71799 73377 76167 92313 99414 105989 114142 143598 146754 152334 171213 184626 211978 215397 220131 317967 342426 430794 440262 513639 635934 646191 741923 953901 1027278 1292382 1483846 1540917 1907802 2225769 2861703 3081834 4451538 5723406 6677307 13354614 20031921 40063842