Search a number
-
+
10047823 is a prime number
BaseRepresentation
bin100110010101…
…000101001111
3200220111000121
4212111011033
510033012243
6555205411
7151255642
oct46250517
920814017
1010047823
115743095
123446867
13210a576
141497a59
15d371ed
hex99514f

10047823 has 2 divisors, whose sum is σ = 10047824. Its totient is φ = 10047822.

The previous prime is 10047787. The next prime is 10047841. The reversal of 10047823 is 32874001.

10047823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10047823 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10044823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5023911 + 5023912.

It is an arithmetic number, because the mean of its divisors is an integer number (5023912).

Almost surely, 210047823 is an apocalyptic number.

10047823 is a deficient number, since it is larger than the sum of its proper divisors (1).

10047823 is an equidigital number, since it uses as much as digits as its factorization.

10047823 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10047823 is about 3169.8301216311. The cubic root of 10047823 is about 215.7863614118.

The spelling of 10047823 in words is "ten million, forty-seven thousand, eight hundred twenty-three".