Search a number
-
+
80038431 = 321117192503
BaseRepresentation
bin1001100010101…
…00101000011111
312120121101002100
410301110220133
5130442212211
611535300143
71661213124
oct461245037
9176541070
1080038431
11411a8070
122297a653
1313774a25
14a8b674b
157060156
hex4c54a1f

80038431 has 48 divisors (see below), whose sum is σ = 140624640. Its totient is φ = 43234560.

The previous prime is 80038423. The next prime is 80038433. The reversal of 80038431 is 13483008.

It is not a de Polignac number, because 80038431 - 23 = 80038423 is a prime.

It is a super-2 number, since 2×800384312 = 12812300873883522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80038395 and 80038404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80038433) 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 47 ways as a sum of consecutive naturals, for example, 30726 + ... + 33228.

It is an arithmetic number, because the mean of its divisors is an integer number (2929680).

Almost surely, 280038431 is an apocalyptic number.

80038431 is a deficient number, since it is larger than the sum of its proper divisors (60586209).

80038431 is a wasteful number, since it uses less digits than its factorization.

80038431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80038431 is about 8946.4200102611. The cubic root of 80038431 is about 430.9559245271.

The spelling of 80038431 in words is "eighty million, thirty-eight thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1683 1881 2503 2907 3553 7509 10659 22527 27533 31977 42551 47557 82599 127653 142671 247797 382959 428013 468061 523127 808469 1404183 1569381 2425407 4212549 4708143 7276221 8893159 26679477 80038431