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406008831 = 31031131267
BaseRepresentation
bin11000001100110…
…011001111111111
31001021222101102010
4120030303033333
51312414240311
6104142102303
713030006134
oct3014631777
91037871363
10406008831
111991aa498
12b3b7a993
1366166617
143bcca58b
152599dda6
hex183333ff

406008831 has 8 divisors (see below), whose sum is σ = 541874304. Its totient is φ = 270407960.

The previous prime is 406008809. The next prime is 406008851. The reversal of 406008831 is 138800604.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406008831 - 27 = 406008703 is a prime.

It is a super-2 number, since 2×4060088312 = 329686341699973122, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406008851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62541 + ... + 68726.

It is an arithmetic number, because the mean of its divisors is an integer number (67734288).

Almost surely, 2406008831 is an apocalyptic number.

406008831 is a deficient number, since it is larger than the sum of its proper divisors (135865473).

406008831 is a wasteful number, since it uses less digits than its factorization.

406008831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132301.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 406008831 is about 20149.6608160038. The cubic root of 406008831 is about 740.4774317397.

The spelling of 406008831 in words is "four hundred six million, eight thousand, eight hundred thirty-one".

Divisors: 1 3 1031 3093 131267 393801 135336277 406008831