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406292991 = 31310417769
BaseRepresentation
bin11000001101111…
…000100111111111
31001022111211012120
4120031320213333
51313002333431
6104152134023
713032301446
oct3015704777
91038454176
10406292991
11199383a35
12b4097313
1366235a70
143bd61d5d
1525a08196
hex183789ff

406292991 has 8 divisors (see below), whose sum is σ = 583395120. Its totient is φ = 250026432.

The previous prime is 406292951. The next prime is 406293029. The reversal of 406292991 is 199292604.

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

It is not a de Polignac number, because 406292991 - 213 = 406284799 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406292951) 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, 5208846 + ... + 5208923.

It is an arithmetic number, because the mean of its divisors is an integer number (72924390).

Almost surely, 2406292991 is an apocalyptic number.

406292991 is a deficient number, since it is larger than the sum of its proper divisors (177102129).

406292991 is a wasteful number, since it uses less digits than its factorization.

406292991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417785.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 406292991 is about 20156.7108179881. The cubic root of 406292991 is about 740.6501414457.

The spelling of 406292991 in words is "four hundred six million, two hundred ninety-two thousand, nine hundred ninety-one".

Divisors: 1 3 13 39 10417769 31253307 135430997 406292991