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40129335 = 325891763
BaseRepresentation
bin1001100100010…
…1001100110111
32210111210002200
42121011030313
540233114320
63552035543
7665044101
oct231051467
983453080
1040129335
1120719844
1211532bb3
13841068c
145488571
1537ca290
hex2645337

40129335 has 12 divisors (see below), whose sum is σ = 69557592. Its totient is φ = 21402288.

The previous prime is 40129289. The next prime is 40129337. The reversal of 40129335 is 53392104.

40129335 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 40129335 - 27 = 40129207 is a prime.

It is a super-2 number, since 2×401293352 = 3220727055084450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40129299 and 40129308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40129337) 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 11 ways as a sum of consecutive naturals, for example, 445837 + ... + 445926.

It is an arithmetic number, because the mean of its divisors is an integer number (5796466).

Almost surely, 240129335 is an apocalyptic number.

40129335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40129335 is a deficient number, since it is larger than the sum of its proper divisors (29428257).

40129335 is a wasteful number, since it uses less digits than its factorization.

40129335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891774 (or 891771 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40129335 is about 6334.7718980244. The cubic root of 40129335 is about 342.3633923390.

The spelling of 40129335 in words is "forty million, one hundred twenty-nine thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 891763 2675289 4458815 8025867 13376445 40129335