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248953829 is a prime number
BaseRepresentation
bin11101101011010…
…11101111100101
3122100110011110012
432311223233211
51002213010304
640411540005
76112033625
oct1665535745
9570404405
10248953829
11118589773
126b45a605
133c767477
14250c6885
1516cc916e
hexed6bbe5

248953829 has 2 divisors, whose sum is σ = 248953830. Its totient is φ = 248953828.

The previous prime is 248953823. The next prime is 248953883. The reversal of 248953829 is 928359842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222069604 + 26884225 = 14902^2 + 5185^2 .

It is a cyclic number.

It is not a de Polignac number, because 248953829 - 24 = 248953813 is a prime.

It is a super-2 number, since 2×2489538292 = 123956017947522482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248953823) 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, 124476914 + 124476915.

It is an arithmetic number, because the mean of its divisors is an integer number (124476915).

Almost surely, 2248953829 is an apocalyptic number.

It is an amenable number.

248953829 is a deficient number, since it is larger than the sum of its proper divisors (1).

248953829 is an equidigital number, since it uses as much as digits as its factorization.

248953829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1244160, while the sum is 50.

The square root of 248953829 is about 15778.2707861159. The cubic root of 248953829 is about 629.0805677796.

The spelling of 248953829 in words is "two hundred forty-eight million, nine hundred fifty-three thousand, eight hundred twenty-nine".