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816431 = 71123461
BaseRepresentation
bin11000111010100101111
31112110221012
43013110233
5202111211
625255435
76640160
oct3072457
91473835
10816431
11508440
1233457b
132277c5
14173767
15111d8b
hexc752f

816431 has 16 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 607200.

The previous prime is 816427. The next prime is 816443. The reversal of 816431 is 134618.

It is not a de Polignac number, because 816431 - 22 = 816427 is a prime.

It is a super-2 number, since 2×8164312 = 1333119155522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 816397 and 816406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541 + ... + 2001.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

2816431 is an apocalyptic number.

816431 is a deficient number, since it is larger than the sum of its proper divisors (248017).

816431 is a wasteful number, since it uses less digits than its factorization.

816431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its digits is 576, while the sum is 23.

The square root of 816431 is about 903.5657142676. The cubic root of 816431 is about 93.4630240707.

The spelling of 816431 in words is "eight hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 7 11 23 77 161 253 461 1771 3227 5071 10603 35497 74221 116633 816431