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40576458 = 23133197173
BaseRepresentation
bin1001101011001…
…0010111001010
32211100111102210
42122302113022
540341421313
64005405550
71001615466
oct232622712
984314383
1040576458
11209a476a
12117098b6
138539050
1455634a6
1538679c3
hex26b25ca

40576458 has 64 divisors (see below), whose sum is σ = 91671552. Its totient is φ = 11888640.

The previous prime is 40576453. The next prime is 40576469. The reversal of 40576458 is 85467504.

40576458 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40576453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234460 + ... + 234632.

It is an arithmetic number, because the mean of its divisors is an integer number (1432368).

Almost surely, 240576458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40576458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45835776).

40576458 is an abundant number, since it is smaller than the sum of its proper divisors (51095094).

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

40576458 is a wasteful number, since it uses less digits than its factorization.

40576458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 40576458 is about 6369.9653060280. The cubic root of 40576458 is about 343.6302420072.

The spelling of 40576458 in words is "forty million, five hundred seventy-six thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 97 173 186 194 291 346 403 519 582 806 1038 1209 1261 2249 2418 2522 3007 3783 4498 5363 6014 6747 7566 9021 10726 13494 16089 16781 18042 32178 33562 39091 50343 69719 78182 100686 117273 139438 209157 218153 234546 418314 436306 520211 654459 1040422 1308918 1560633 3121266 6762743 13525486 20288229 40576458