Search a number
-
+
40042314 = 23213211811
BaseRepresentation
bin1001100010111…
…1111101001010
32210100100201200
42120233331022
540222323224
63550125030
7664232304
oct230577512
983310650
1040042314
112066a424
12114b0776
1383acba0
145464974
1537ae5c9
hex262ff4a

40042314 has 48 divisors (see below), whose sum is σ = 93990624. Its totient is φ = 12247200.

The previous prime is 40042313. The next prime is 40042339. The reversal of 40042314 is 41324004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40042313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48969 + ... + 49779.

It is an arithmetic number, because the mean of its divisors is an integer number (1958138).

Almost surely, 240042314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40042314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46995312).

40042314 is an abundant number, since it is smaller than the sum of its proper divisors (53948310).

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

40042314 is a wasteful number, since it uses less digits than its factorization.

40042314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40042314 is about 6327.8996515432. The cubic root of 40042314 is about 342.1157400408.

Adding to 40042314 its reverse (41324004), we get a palindrome (81366318).

The spelling of 40042314 in words is "forty million, forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 633 811 1266 1622 1899 2433 2743 3798 4866 5486 7299 8229 10543 14598 16458 21086 24687 31629 49374 63258 94887 171121 189774 342242 513363 1026726 1540089 2224573 3080178 4449146 6673719 13347438 20021157 40042314