Search a number
-
+
40964595 = 357432211
BaseRepresentation
bin1001110001000…
…1000111110011
32212002012212020
42130101013303
540441331340
64022002523
71005123210
oct234210763
985065766
1040964595
112113a341
1211876443
138643909
145624b07
1538e29d0
hex27111f3

40964595 has 48 divisors (see below), whose sum is σ = 77052672. Its totient is φ = 18204480.

The previous prime is 40964569. The next prime is 40964641. The reversal of 40964595 is 59546904.

It is a happy number.

40964595 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 40964595 - 215 = 40931827 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 194040 + ... + 194250.

It is an arithmetic number, because the mean of its divisors is an integer number (1605264).

Almost surely, 240964595 is an apocalyptic number.

40964595 is a deficient number, since it is larger than the sum of its proper divisors (36088077).

40964595 is a wasteful number, since it uses less digits than its factorization.

40964595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 40964595 is about 6400.3589743076. The cubic root of 40964595 is about 344.7224400630.

The spelling of 40964595 in words is "forty million, nine hundred sixty-four thousand, five hundred ninety-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 211 215 301 633 645 903 1055 1477 1505 1849 3165 4431 4515 5547 7385 9073 9245 12943 22155 27219 27735 38829 45365 63511 64715 136095 190533 194145 317555 390139 952665 1170417 1950695 2730973 5852085 8192919 13654865 40964595