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40957461 = 336832221
BaseRepresentation
bin1001110000111…
…1011000010101
32212001212002000
42130033120111
540441114321
64021505513
71005063336
oct234173025
985055060
1040957461
1121134a46
1211872299
1386405ac
14562228d
1538e0826
hex270f615

40957461 has 16 divisors (see below), whose sum is σ = 60793920. Its totient is φ = 27252720.

The previous prime is 40957447. The next prime is 40957481. The reversal of 40957461 is 16475904.

40957461 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 40957461 - 27 = 40957333 is a prime.

It is a super-2 number, since 2×409574612 = 3355027223133042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40957481) 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, 17331 + ... + 19551.

It is an arithmetic number, because the mean of its divisors is an integer number (3799620).

Almost surely, 240957461 is an apocalyptic number.

It is an amenable number.

40957461 is a deficient number, since it is larger than the sum of its proper divisors (19836459).

40957461 is a wasteful number, since it uses less digits than its factorization.

40957461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40957461 is about 6399.8016375510. The cubic root of 40957461 is about 344.7024277193.

The spelling of 40957461 in words is "forty million, nine hundred fifty-seven thousand, four hundred sixty-one".

Divisors: 1 3 9 27 683 2049 2221 6147 6663 18441 19989 59967 1516943 4550829 13652487 40957461