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40580436 = 22313594409
BaseRepresentation
bin1001101011001…
…1010101010100
32211100200220010
42122303111110
540342033221
64005440220
71001633211
oct232632524
984320803
1040580436
11209a7756
1211710070
13853aac0
145564b08
153868c76
hex26b3554

40580436 has 48 divisors (see below), whose sum is σ = 103723200. Its totient is φ = 12271872.

The previous prime is 40580429. The next prime is 40580467. The reversal of 40580436 is 63408504.

40580436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7000 + ... + 11408.

It is an arithmetic number, because the mean of its divisors is an integer number (2160900).

Almost surely, 240580436 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 40580436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51861600).

40580436 is an abundant number, since it is smaller than the sum of its proper divisors (63142764).

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

40580436 is a wasteful number, since it uses less digits than its factorization.

40580436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 40580436 is about 6370.2775449740. The cubic root of 40580436 is about 343.6414711493.

The spelling of 40580436 in words is "forty million, five hundred eighty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 4409 4602 8818 9204 13227 17636 26454 52908 57317 114634 171951 229268 260131 343902 520262 687804 780393 1040524 1560786 3121572 3381703 6763406 10145109 13526812 20290218 40580436