Search a number
-
+
2048577431 is a prime number
BaseRepresentation
bin111101000011010…
…1100111110010111
312021202202111221012
41322012230332113
513143413434211
6535140042435
7101523422645
oct17206547627
95252674835
102048577431
119614065aa
1249209341b
132685550c4
14156102195
15becaad8b
hex7a1acf97

2048577431 has 2 divisors, whose sum is σ = 2048577432. Its totient is φ = 2048577430.

The previous prime is 2048577407. The next prime is 2048577439. The reversal of 2048577431 is 1347758402.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2048577431 is a prime.

It is a super-2 number, since 2×20485774312 = 8393338981605119522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2048577439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1024288715 + 1024288716.

It is an arithmetic number, because the mean of its divisors is an integer number (1024288716).

Almost surely, 22048577431 is an apocalyptic number.

2048577431 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048577431 is an equidigital number, since it uses as much as digits as its factorization.

2048577431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 2048577431 is about 45261.2133178067. The cubic root of 2048577431 is about 1270.0401812157.

The spelling of 2048577431 in words is "two billion, forty-eight million, five hundred seventy-seven thousand, four hundred thirty-one".