Search a number
-
+
40396566 = 23789101107
BaseRepresentation
bin1001101000011…
…0011100010110
32211000100200010
42122012130112
540320142231
64001501050
71000236150
oct232063426
984010603
1040396566
11208915a1
1211641786
1384a51c2
145517ad0
15382e546
hex2686716

40396566 has 64 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 11193600.

The previous prime is 40396553. The next prime is 40396567. The reversal of 40396566 is 66569304.

It is a happy number.

40396566 is a nontrivial binomial coefficient, being equal to C(8989, 2).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40396567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377485 + ... + 377591.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 240396566 is an apocalyptic number.

40396566 is the 8988-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40396566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589120).

40396566 is an abundant number, since it is smaller than the sum of its proper divisors (54781674).

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

40396566 is a wasteful number, since it uses less digits than its factorization.

40396566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 40396566 is about 6355.8292928618. The cubic root of 40396566 is about 343.1216719927.

It can be divided in two parts, 403 and 96566, that added together give a palindrome (96969).

The spelling of 40396566 in words is "forty million, three hundred ninety-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 89 101 107 178 202 214 267 303 321 534 606 623 642 707 749 1246 1414 1498 1869 2121 2247 3738 4242 4494 8989 9523 10807 17978 19046 21614 26967 28569 32421 53934 57138 62923 64842 66661 75649 125846 133322 151298 188769 199983 226947 377538 399966 453894 961823 1923646 2885469 5770938 6732761 13465522 20198283 40396566