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406872631 = 11192102461
BaseRepresentation
bin11000010000000…
…110001000110111
31001100121021022201
4120100012020313
51313124411011
6104212405331
713040234404
oct3020061067
91040537281
10406872631
1119973a480
12b4316847
13663a9849
143c0732ab
1525abecc1
hex18406237

406872631 has 12 divisors (see below), whose sum is σ = 468456264. Its totient is φ = 350413200.

The previous prime is 406872619. The next prime is 406872637. The reversal of 406872631 is 136278604.

It is not a de Polignac number, because 406872631 - 29 = 406872119 is a prime.

It is a super-2 number, since 2×4068726312 = 331090675713724322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406872637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47260 + ... + 55201.

It is an arithmetic number, because the mean of its divisors is an integer number (39038022).

Almost surely, 2406872631 is an apocalyptic number.

406872631 is a deficient number, since it is larger than the sum of its proper divisors (61583633).

406872631 is a wasteful number, since it uses less digits than its factorization.

406872631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102510 (or 102491 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 406872631 is about 20171.0840313554. The cubic root of 406872631 is about 741.0021915342.

The spelling of 406872631 in words is "four hundred six million, eight hundred seventy-two thousand, six hundred thirty-one".

Divisors: 1 11 19 209 361 3971 102461 1127071 1946759 21414349 36988421 406872631