Search a number
-
+
40413213 = 3237157773
BaseRepresentation
bin1001101000101…
…0100000011101
32211001012111200
42122022200131
540321210323
64002110113
71000335531
oct232124035
984035450
1040413213
11208a3055
121164b339
1384ac959
14551dbc1
153834443
hex268a81d

40413213 has 24 divisors (see below), whose sum is σ = 60412248. Its totient is φ = 26013312.

The previous prime is 40413179. The next prime is 40413229. The reversal of 40413213 is 31231404.

40413213 is a `hidden beast` number, since 40 + 413 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2442969 + 37970244 = 1563^2 + 6162^2 .

It is not a de Polignac number, because 40413213 - 216 = 40347677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40413283) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51895 + ... + 52667.

It is an arithmetic number, because the mean of its divisors is an integer number (2517177).

Almost surely, 240413213 is an apocalyptic number.

It is an amenable number.

40413213 is a deficient number, since it is larger than the sum of its proper divisors (19999035).

40413213 is a wasteful number, since it uses less digits than its factorization.

40413213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40413213 is about 6357.1387431768. The cubic root of 40413213 is about 343.1687977974.

Adding to 40413213 its reverse (31231404), we get a palindrome (71644617).

The spelling of 40413213 in words is "forty million, four hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 37 111 157 333 471 773 1413 2319 5809 6957 17427 28601 52281 85803 121361 257409 364083 1092249 4490357 13471071 40413213