Search a number
-
+
40164471 = 3310931361
BaseRepresentation
bin1001100100110…
…1110001110111
32210120120022000
42121031301313
540240230341
63552510343
7665251404
oct231156167
983516260
1040164471
1120743186
121154b3b3
138423679
1454972ab
1537d58b6
hex264dc77

40164471 has 16 divisors (see below), whose sum is σ = 59601120. Its totient is φ = 26732160.

The previous prime is 40164457. The next prime is 40164479. The reversal of 40164471 is 17446104.

It is not a de Polignac number, because 40164471 - 210 = 40163447 is a prime.

It is a super-3 number, since 3×401644713 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28831 + ... + 30191.

It is an arithmetic number, because the mean of its divisors is an integer number (3725070).

Almost surely, 240164471 is an apocalyptic number.

40164471 is a deficient number, since it is larger than the sum of its proper divisors (19436649).

40164471 is a wasteful number, since it uses less digits than its factorization.

40164471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40164471 is about 6337.5445560564. The cubic root of 40164471 is about 342.4632841101.

The spelling of 40164471 in words is "forty million, one hundred sixty-four thousand, four hundred seventy-one".

Divisors: 1 3 9 27 1093 1361 3279 4083 9837 12249 29511 36747 1487573 4462719 13388157 40164471