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816249423 = 31124747843
BaseRepresentation
bin110000101001101…
…111101001001111
32002212220202201010
4300221233221033
53132424440143
6212555020303
726141001633
oct6051575117
92085822633
10816249423
1138982a300
121a943a693
13100152132
147a598dc3
154b9d6a33
hex30a6fa4f

816249423 has 24 divisors (see below), whose sum is σ = 1221744384. Its totient is φ = 484161040.

The previous prime is 816249419. The next prime is 816249431. The reversal of 816249423 is 324942618.

It is not a de Polignac number, because 816249423 - 22 = 816249419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816249433) 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 23 ways as a sum of consecutive naturals, for example, 6861 + ... + 40982.

It is an arithmetic number, because the mean of its divisors is an integer number (50906016).

Almost surely, 2816249423 is an apocalyptic number.

816249423 is a deficient number, since it is larger than the sum of its proper divisors (405494961).

816249423 is a wasteful number, since it uses less digits than its factorization.

816249423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47915 (or 47904 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 816249423 is about 28570.0791563482. The cubic root of 816249423 is about 934.5609472666.

The spelling of 816249423 in words is "eight hundred sixteen million, two hundred forty-nine thousand, four hundred twenty-three".

Divisors: 1 3 11 33 47 121 141 363 517 1551 5687 17061 47843 143529 526273 1578819 2248621 5789003 6745863 17367009 24734831 74204493 272083141 816249423