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406164053 = 2944931193
BaseRepresentation
bin11000001101011…
…001001001010101
31001022021021100002
4120031121021111
51312434222203
6104145301045
713031223521
oct3015311125
91038237302
10406164053
111992a6079
12b4034785
13661bc179
143bd2ad81
15259ced88
hex18359255

406164053 has 8 divisors (see below), whose sum is σ = 421119000. Its totient is φ = 391272448.

The previous prime is 406164029. The next prime is 406164079. The reversal of 406164053 is 350461604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79530724 + 326633329 = 8918^2 + 18073^2 .

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 406164053 - 210 = 406163029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406164853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2576 + ... + 28617.

It is an arithmetic number, because the mean of its divisors is an integer number (52639875).

Almost surely, 2406164053 is an apocalyptic number.

It is an amenable number.

406164053 is a deficient number, since it is larger than the sum of its proper divisors (14954947).

406164053 is a wasteful number, since it uses less digits than its factorization.

406164053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31671.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 406164053 is about 20153.5121753009. The cubic root of 406164053 is about 740.5717841567.

The spelling of 406164053 in words is "four hundred six million, one hundred sixty-four thousand, fifty-three".

Divisors: 1 29 449 13021 31193 904597 14005657 406164053