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40964919 = 331538311
BaseRepresentation
bin1001110001000…
…1001100110111
32212002020022020
42130101030313
540441334134
64022004223
71005124152
oct234211467
985066266
1040964919
112113a606
1211876673
138643ac8
145624c99
1538e2b49
hex2711337

40964919 has 16 divisors (see below), whose sum is σ = 57452544. Its totient is φ = 25927200.

The previous prime is 40964881. The next prime is 40964923. The reversal of 40964919 is 91946904.

40964919 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 40964919 - 28 = 40964663 is a prime.

It is a super-2 number, since 2×409649192 = 3356249177353122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40964999) 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 15 ways as a sum of consecutive naturals, for example, 774 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (3590784).

Almost surely, 240964919 is an apocalyptic number.

40964919 is a deficient number, since it is larger than the sum of its proper divisors (16487625).

40964919 is a wasteful number, since it uses less digits than its factorization.

40964919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 40964919 is about 6400.3842853379. The cubic root of 40964919 is about 344.7233488947.

The spelling of 40964919 in words is "forty million, nine hundred sixty-four thousand, nine hundred nineteen".

Divisors: 1 3 31 53 93 159 1643 4929 8311 24933 257641 440483 772923 1321449 13654973 40964919