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40786461 = 324531829
BaseRepresentation
bin1001101110010…
…1101000011101
32211202011111200
42123211220131
540420131321
64014110113
71003451652
oct233455035
984664450
1040786461
1121028521
12117ab339
1385b0801
1455b9c29
1538a9d26
hex26e5a1d

40786461 has 6 divisors (see below), whose sum is σ = 58913790. Its totient is φ = 27190968.

The previous prime is 40786433. The next prime is 40786481. The reversal of 40786461 is 16468704.

40786461 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 646 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22382361 + 18404100 = 4731^2 + 4290^2 .

It is not a de Polignac number, because 40786461 - 26 = 40786397 is a prime.

It is a super-3 number, since 3×407864613 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40786411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2265906 + ... + 2265923.

It is an arithmetic number, because the mean of its divisors is an integer number (9818965).

Almost surely, 240786461 is an apocalyptic number.

It is an amenable number.

40786461 is a deficient number, since it is larger than the sum of its proper divisors (18127329).

40786461 is a wasteful number, since it uses less digits than its factorization.

40786461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531835 (or 4531832 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40786461 is about 6386.4278747982. The cubic root of 40786461 is about 344.2220403750. Note that the first 3 decimals are identical.

It can be divided in two parts, 407 and 86461, that added together give a palindrome (86868).

The spelling of 40786461 in words is "forty million, seven hundred eighty-six thousand, four hundred sixty-one".

Divisors: 1 3 9 4531829 13595487 40786461