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80005431 = 3112324583
BaseRepresentation
bin1001100010011…
…00100100110111
312120112200211010
410301030210313
5130440133211
611534443303
71661014662
oct461144467
9176480733
1080005431
11411852a0
1222963533
13137629bc
14a8a86d9
1570554a6
hex4c4c937

80005431 has 24 divisors (see below), whose sum is σ = 121677696. Its totient is φ = 46369840.

The previous prime is 80005381. The next prime is 80005441. The reversal of 80005431 is 13450008.

It is not a de Polignac number, because 80005431 - 215 = 79972663 is a prime.

It is a super-2 number, since 2×800054312 = 12801737978991522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80005398 and 80005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80005441) 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 23 ways as a sum of consecutive naturals, for example, 15166 + ... + 19748.

It is an arithmetic number, because the mean of its divisors is an integer number (5069904).

Almost surely, 280005431 is an apocalyptic number.

80005431 is a deficient number, since it is larger than the sum of its proper divisors (41672265).

80005431 is a wasteful number, since it uses less digits than its factorization.

80005431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 80005431 is about 8944.5755069763. The cubic root of 80005431 is about 430.8966883981.

Adding to 80005431 its reverse (13450008), we get a palindrome (93455439).

It can be divided in two parts, 8000 and 5431, that added together give a palindrome (13431).

The spelling of 80005431 in words is "eighty million, five thousand, four hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 529 759 1587 4583 5819 13749 17457 50413 105409 151239 316227 1159499 2424407 3478497 7273221 26668477 80005431