Search a number
-
+
40149936 = 2432278819
BaseRepresentation
bin1001100100101…
…0001110110000
32210112211100200
42121022032300
540234244221
63552315200
7665161131
oct231121660
983484320
1040149936
1120733272
1211542b00
138419b78
145491c88
1537d1426
hex264a3b0

40149936 has 30 divisors (see below), whose sum is σ = 112364460. Its totient is φ = 13383264.

The previous prime is 40149911. The next prime is 40149953. The reversal of 40149936 is 63994104.

It is a super-2 number, since 2×401499362 = 3224034721608192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40149936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139266 + ... + 139553.

It is an arithmetic number, because the mean of its divisors is an integer number (3745482).

Almost surely, 240149936 is an apocalyptic number.

It is an amenable number.

40149936 is an abundant number, since it is smaller than the sum of its proper divisors (72214524).

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

40149936 is a wasteful number, since it uses less digits than its factorization.

40149936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278833 (or 278824 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40149936 is about 6336.3977147903. The cubic root of 40149936 is about 342.4219681221.

The spelling of 40149936 in words is "forty million, one hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 278819 557638 836457 1115276 1672914 2230552 2509371 3345828 4461104 5018742 6691656 10037484 13383312 20074968 40149936