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40589641 = 2322772
BaseRepresentation
bin1001101011010…
…1100101001001
32211101011112001
42122311211021
540342332031
64005551001
71002002101
oct232654511
984334461
1040589641
1120a03664
1211715461
138542051
145568201
15386b861
hex26b5949

40589641 has 9 divisors (see below), whose sum is σ = 42584871. Its totient is φ = 38684712.

The previous prime is 40589611. The next prime is 40589651. The reversal of 40589641 is 14698504.

It is a happy number.

The square root of 40589641 is 6371.

It is a perfect power (a square), and thus also a powerful number.

40589641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6996025 + 33593616 = 2645^2 + 5796^2 .

It is not a de Polignac number, because 40589641 - 219 = 40065353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40589641.

It is not an unprimeable number, because it can be changed into a prime (40589611) 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 8 ways as a sum of consecutive naturals, for example, 146395 + ... + 146671.

Almost surely, 240589641 is an apocalyptic number.

40589641 is the 6371-st square number.

40589641 is the 3186-th centered octagonal number.

It is an amenable number.

40589641 is a deficient number, since it is larger than the sum of its proper divisors (1995230).

40589641 is an frugal number, since it uses more digits than its factorization.

40589641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 40589641 is about 343.6674523109.

The spelling of 40589641 in words is "forty million, five hundred eighty-nine thousand, six hundred forty-one".

Divisors: 1 23 277 529 6371 76729 146533 1764767 40589641