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40146759 = 3829211
BaseRepresentation
bin1001100100100…
…1011101000111
32210112200000000
42121021131013
540234144014
63552252343
7665145642
oct231113507
983480000
1040146759
1120730944
12115410b3
1384185a3
145490a59
1537d0509
hex2649747

40146759 has 36 divisors (see below), whose sum is σ = 62588760. Its totient is φ = 25719120.

The previous prime is 40146731. The next prime is 40146761. The reversal of 40146759 is 95764104.

40146759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40146759 - 217 = 40015687 is a prime.

It is a super-2 number, since 2×401467592 = 3223524516408162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146719) 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 35 ways as a sum of consecutive naturals, for example, 190164 + ... + 190374.

Almost surely, 240146759 is an apocalyptic number.

40146759 is a deficient number, since it is larger than the sum of its proper divisors (22442001).

40146759 is an frugal number, since it uses more digits than its factorization.

40146759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40146759 is about 6336.1470153398. The cubic root of 40146759 is about 342.4129361169.

The spelling of 40146759 in words is "forty million, one hundred forty-six thousand, seven hundred fifty-nine".

Divisors: 1 3 9 27 29 81 87 211 243 261 633 729 783 1899 2187 2349 5697 6119 6561 7047 17091 18357 21141 51273 55071 63423 153819 165213 190269 461457 495639 1384371 1486917 4460751 13382253 40146759