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417681381 = 31317629987
BaseRepresentation
bin11000111001010…
…100111111100101
31002002221102010210
4120321110333211
51323411301011
6105240210033
713231142655
oct3071247745
91062842123
10417681381
111a4852227
12b7a69919
13686c2560
143d688365
1526a076a6
hex18e54fe5

417681381 has 16 divisors (see below), whose sum is σ = 635027904. Its totient is φ = 241914624.

The previous prime is 417681349. The next prime is 417681409. The reversal of 417681381 is 183186714.

It is not a de Polignac number, because 417681381 - 25 = 417681349 is a prime.

It is a super-2 number, since 2×4176813812 = 348915472068134322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417681301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314331 + ... + 315656.

It is an arithmetic number, because the mean of its divisors is an integer number (39689244).

Almost surely, 2417681381 is an apocalyptic number.

It is an amenable number.

417681381 is a deficient number, since it is larger than the sum of its proper divisors (217346523).

417681381 is a wasteful number, since it uses less digits than its factorization.

417681381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630020.

The product of its digits is 32256, while the sum is 39.

The square root of 417681381 is about 20437.2547324732. The cubic root of 417681381 is about 747.5066123209.

The spelling of 417681381 in words is "four hundred seventeen million, six hundred eighty-one thousand, three hundred eighty-one".

Divisors: 1 3 13 17 39 51 221 663 629987 1889961 8189831 10709779 24569493 32129337 139227127 417681381