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40288729 = 1347233283
BaseRepresentation
bin1001100110110…
…0000111011001
32210210212202011
42121230013121
540303214404
63555305521
7666306565
oct231540731
983725664
1040288729
1120818578
12115ab2a1
1384680b0
1454ca6a5
15380c604
hex266c1d9

40288729 has 16 divisors (see below), whose sum is σ = 44658432. Its totient is φ = 36114048.

The previous prime is 40288727. The next prime is 40288739. The reversal of 40288729 is 92788204.

40288729 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 40288729 - 21 = 40288727 is a prime.

It is a super-3 number, since 3×402887293 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40288691 and 40288700.

It is not an unprimeable number, because it can be changed into a prime (40288723) 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 15 ways as a sum of consecutive naturals, for example, 142222 + ... + 142504.

It is an arithmetic number, because the mean of its divisors is an integer number (2791152).

Almost surely, 240288729 is an apocalyptic number.

It is an amenable number.

40288729 is a deficient number, since it is larger than the sum of its proper divisors (4369703).

40288729 is a wasteful number, since it uses less digits than its factorization.

40288729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 40288729 is about 6347.3403091374. The cubic root of 40288729 is about 342.8160834346.

The spelling of 40288729 in words is "forty million, two hundred eighty-eight thousand, seven hundred twenty-nine".

Divisors: 1 13 47 233 283 611 3029 3679 10951 13301 65939 142363 172913 857207 3099133 40288729