Search a number
-
+
5431020426 = 2321379293791
BaseRepresentation
bin1010000111011011…
…01100101110001010
3112000111102102102200
411003231230232022
542110320123201
62254525341030
7251404624536
oct50355545612
915014372380
105431020426
112337740037
121076a07776
13687241770
1439741cbc6
1521bbe6386
hex143b6cb8a

5431020426 has 48 divisors (see below), whose sum is σ = 12832834560. Its totient is φ = 1649924640.

The previous prime is 5431020421. The next prime is 5431020437. The reversal of 5431020426 is 6240201345.

5431020426 is a `hidden beast` number, since 5 + 431 + 0 + 204 + 26 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5431020426.

It is not an unprimeable number, because it can be changed into a prime (5431020421) 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, 128410 + ... + 165381.

It is an arithmetic number, because the mean of its divisors is an integer number (267350720).

Almost surely, 25431020426 is an apocalyptic number.

5431020426 is an abundant number, since it is smaller than the sum of its proper divisors (7401814134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5431020426 is a wasteful number, since it uses less digits than its factorization.

5431020426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293891 (or 293888 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5431020426 is about 73695.4572955484. The cubic root of 5431020426 is about 1757.7636482528.

The spelling of 5431020426 in words is "five billion, four hundred thirty-one million, twenty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 9243 18486 293791 587582 881373 1762746 2644119 3819283 5288238 7638566 11457849 22915698 23209489 34373547 46418978 68747094 69628467 139256934 208885401 301723357 417770802 603446714 905170071 1810340142 2715510213 5431020426