Search a number
-
+
40040644 = 22721761197
BaseRepresentation
bin1001100010111…
…1100011000100
32210100021102211
42120233203010
540222300034
63550113204
7664224400
oct230574304
983307384
1040040644
1120669146
12114ab804
1383ac1b7
145464100
1537add64
hex262f8c4

40040644 has 72 divisors (see below), whose sum is σ = 88166232. Its totient is φ = 15805440.

The previous prime is 40040633. The next prime is 40040647. The reversal of 40040644 is 44604004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11289600 + 28751044 = 3360^2 + 5362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040647) 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, 203154 + ... + 203350.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 240040644 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 40040644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083116).

40040644 is an abundant number, since it is smaller than the sum of its proper divisors (48125588).

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

40040644 is a wasteful number, since it uses less digits than its factorization.

40040644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 40040644 is about 6327.7676948510. The cubic root of 40040644 is about 342.1109838952.

Adding to 40040644 its reverse (44604004), we get a palindrome (84644648).

The spelling of 40040644 in words is "forty million, forty thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 61 68 98 119 122 196 197 238 244 394 427 476 788 833 854 1037 1379 1666 1708 2074 2758 2989 3332 3349 4148 5516 5978 6698 7259 9653 11956 12017 13396 14518 19306 23443 24034 29036 38612 46886 48068 50813 84119 93772 101626 164101 168238 203252 204289 328202 336476 408578 588833 656404 817156 1177666 1430023 2355332 2860046 5720092 10010161 20020322 40040644