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414540531 = 3335942767
BaseRepresentation
bin11000101101010…
…110001011110011
31001220000211201000
4120231112023303
51322110244111
6105045013043
713162351656
oct3055261363
91056024630
10414540531
111a2aa7489
12b69b4183
1367b62a72
143d0ab89d
15265d6c56
hex18b562f3

414540531 has 16 divisors (see below), whose sum is σ = 615859200. Its totient is φ = 275584104.

The previous prime is 414540521. The next prime is 414540547. The reversal of 414540531 is 135045414.

It is a happy number.

It is not a de Polignac number, because 414540531 - 27 = 414540403 is a prime.

It is a super-2 number, since 2×4145405312 = 343687703683523922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414540495 and 414540504.

It is not an unprimeable number, because it can be changed into a prime (414540521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11691 + ... + 31076.

It is an arithmetic number, because the mean of its divisors is an integer number (38491200).

Almost surely, 2414540531 is an apocalyptic number.

414540531 is a deficient number, since it is larger than the sum of its proper divisors (201318669).

414540531 is a wasteful number, since it uses less digits than its factorization.

414540531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43135 (or 43129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 414540531 is about 20360.2684412559. The cubic root of 414540531 is about 745.6282141660.

Adding to 414540531 its reverse (135045414), we get a palindrome (549585945).

The spelling of 414540531 in words is "four hundred fourteen million, five hundred forty thousand, five hundred thirty-one".

Divisors: 1 3 9 27 359 1077 3231 9693 42767 128301 384903 1154709 15353353 46060059 138180177 414540531