Search a number
-
+
40642146 = 23213716481
BaseRepresentation
bin1001101100001…
…0011001100010
32211110211112200
42123002121202
540401022041
64011034030
71002311136
oct233023142
984424480
1040642146
1120a3a056
121173b916
13855cc0c
14557d3c6
15387c1b6
hex26c2662

40642146 has 24 divisors (see below), whose sum is σ = 88706124. Its totient is φ = 13447680.

The previous prime is 40642109. The next prime is 40642157. The reversal of 40642146 is 64124604.

40642146 is a `hidden beast` number, since 4 + 0 + 642 + 14 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40640625 + 1521 = 6375^2 + 39^2 .

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 11 ways as a sum of consecutive naturals, for example, 5775 + ... + 10706.

Almost surely, 240642146 is an apocalyptic number.

40642146 is an abundant number, since it is smaller than the sum of its proper divisors (48063978).

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

40642146 is a wasteful number, since it uses less digits than its factorization.

40642146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16626 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40642146 is about 6375.1192930015. The cubic root of 40642146 is about 343.8155729011.

The spelling of 40642146 in words is "forty million, six hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 16481 32962 49443 98886 148329 296658 2257897 4515794 6773691 13547382 20321073 40642146