Search a number
-
+
248401769 = 71116971901
BaseRepresentation
bin11101100111001…
…00111101101001
3122022102010011112
432303210331221
51002042324034
640352040105
76104244260
oct1663447551
9568363145
10248401769
11118241a20
126b233035
133c6030c5
1424dc15d7
1516c1a7ce
hexece4f69

248401769 has 16 divisors (see below), whose sum is σ = 310041216. Its totient is φ = 193344000.

The previous prime is 248401717. The next prime is 248401781. The reversal of 248401769 is 967104842.

It is a cyclic number.

It is not a de Polignac number, because 248401769 - 216 = 248336233 is a prime.

It is a super-2 number, since 2×2484017692 = 123406877684658722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (248401799) 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 15 ways as a sum of consecutive naturals, for example, 129719 + ... + 131619.

It is an arithmetic number, because the mean of its divisors is an integer number (19377576).

Almost surely, 2248401769 is an apocalyptic number.

It is an amenable number.

248401769 is a deficient number, since it is larger than the sum of its proper divisors (61639447).

248401769 is a wasteful number, since it uses less digits than its factorization.

248401769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 248401769 is about 15760.7667643424. The cubic root of 248401769 is about 628.6152241400.

The spelling of 248401769 in words is "two hundred forty-eight million, four hundred one thousand, seven hundred sixty-nine".

Divisors: 1 7 11 77 1697 1901 11879 13307 18667 20911 130669 146377 3225997 22581979 35485967 248401769