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40089735 = 345779179
BaseRepresentation
bin1001100011101…
…1100010000111
32210102202210000
42120323202013
540230332420
63551132343
7664520460
oct230734207
983382700
1040089735
11206a2014
12115140b3
1383c864a
145477d67
1537bd690
hex263b887

40089735 has 80 divisors (see below), whose sum is σ = 83635200. Its totient is φ = 17993664.

The previous prime is 40089719. The next prime is 40089737. The reversal of 40089735 is 53798004.

40089735 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 40089735 - 24 = 40089719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40089735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40089737) 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 79 ways as a sum of consecutive naturals, for example, 223876 + ... + 224054.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 240089735 is an apocalyptic number.

40089735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40089735 is an abundant number, since it is smaller than the sum of its proper divisors (43545465).

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

40089735 is a wasteful number, since it uses less digits than its factorization.

40089735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

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

The square root of 40089735 is about 6331.6455207158. The cubic root of 40089735 is about 342.2507394849.

The spelling of 40089735 in words is "forty million, eighty-nine thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 79 81 105 135 179 189 237 315 395 405 537 553 567 711 895 945 1185 1253 1611 1659 2133 2685 2765 2835 3555 3759 4833 4977 6265 6399 8055 8295 10665 11277 14141 14499 14931 18795 24165 24885 31995 33831 42423 44793 56385 70705 72495 74655 98987 101493 127269 169155 212115 223965 296961 381807 494935 507465 636345 890883 1145421 1484805 1909035 2672649 4454415 5727105 8017947 13363245 40089735