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40640512 = 21311241
BaseRepresentation
bin1001101100001…
…0000000000000
32211110202022011
42123002000000
540400444022
64011022304
71002303313
oct233020000
984422264
1040640512
1120a38900
121173a994
13855c253
14557c97a
15387b977
hex26c2000

40640512 has 84 divisors (see below), whose sum is σ = 91515438. Its totient is φ = 18022400.

The previous prime is 40640507. The next prime is 40640519. The reversal of 40640512 is 21504604.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 495616 = 6336^2 + 704^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (40640519) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991212 + ... + 991252.

Almost surely, 240640512 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 40640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45757719).

40640512 is an abundant number, since it is smaller than the sum of its proper divisors (50874926).

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

40640512 is an equidigital number, since it uses as much as digits as its factorization.

40640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 40640512 is about 6374.9911372487. The cubic root of 40640512 is about 343.8109651870.

The spelling of 40640512 in words is "forty million, six hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 164 176 242 256 328 352 451 484 512 656 704 902 968 1024 1312 1408 1804 1936 2048 2624 2816 3608 3872 4096 4961 5248 5632 7216 7744 8192 9922 10496 11264 14432 15488 19844 20992 22528 28864 30976 39688 41984 45056 57728 61952 79376 83968 90112 115456 123904 158752 167936 230912 247808 317504 335872 461824 495616 635008 923648 991232 1270016 1847296 2540032 3694592 5080064 10160128 20320256 40640512