Search a number
-
+
249355601 = 11192941141
BaseRepresentation
bin11101101110011…
…01110101010001
3122101012120120122
432313031311101
51002313334401
640424320025
76115326155
oct1667156521
9571176518
10249355601
11118833610
126b613015
133c8782c1
142518d065
1516d5821b
hexedcdd51

249355601 has 16 divisors (see below), whose sum is σ = 296222400. Its totient is φ = 207345600.

The previous prime is 249355583. The next prime is 249355637. The reversal of 249355601 is 106553942.

It is not a de Polignac number, because 249355601 - 214 = 249339217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249355651) 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, 14510 + ... + 26631.

It is an arithmetic number, because the mean of its divisors is an integer number (18513900).

Almost surely, 2249355601 is an apocalyptic number.

It is an amenable number.

249355601 is a deficient number, since it is larger than the sum of its proper divisors (46866799).

249355601 is a wasteful number, since it uses less digits than its factorization.

249355601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41200.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 249355601 is about 15790.9974669113. The cubic root of 249355601 is about 629.4187979863.

The spelling of 249355601 in words is "two hundred forty-nine million, three hundred fifty-five thousand, six hundred one".

Divisors: 1 11 19 29 209 319 551 6061 41141 452551 781679 1193089 8598469 13123979 22668691 249355601