Search a number
-
+
40993236 = 22331133359
BaseRepresentation
bin1001110001100…
…0000111010100
32212010200011000
42130120013110
540443240421
64022343300
71005302544
oct234300724
985120130
1040993236
1121159909
121188ab30
13865396b
145631324
1538eb226
hex27181d4

40993236 has 48 divisors (see below), whose sum is σ = 107251200. Its totient is φ = 13539456.

The previous prime is 40993219. The next prime is 40993243. The reversal of 40993236 is 63239904.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40993236.

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 15 ways as a sum of consecutive naturals, for example, 10525 + ... + 13883.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 240993236 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 40993236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

40993236 is an abundant number, since it is smaller than the sum of its proper divisors (66257964).

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

40993236 is a wasteful number, since it uses less digits than its factorization.

40993236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 40993236 is about 6402.5960359842. The cubic root of 40993236 is about 344.8027606040.

The spelling of 40993236 in words is "forty million, nine hundred ninety-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 3359 4068 6102 6718 10077 12204 13436 20154 30231 40308 60462 90693 120924 181386 362772 379567 759134 1138701 1518268 2277402 3416103 4554804 6832206 10248309 13664412 20496618 40993236