Search a number
-
+
2553903 = 33118599
BaseRepresentation
bin1001101111100000101111
311210202022000
421233200233
51123211103
6130423343
730464532
oct11574057
94722260
102553903
111494870
12a31b53
136b55b1
144a6a19
15356aa3
hex26f82f

2553903 has 16 divisors (see below), whose sum is σ = 4128000. Its totient is φ = 1547640.

The previous prime is 2553871. The next prime is 2553907. The reversal of 2553903 is 3093552.

It is not a de Polignac number, because 2553903 - 25 = 2553871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2553903 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4003 + ... + 4596.

It is an arithmetic number, because the mean of its divisors is an integer number (258000).

22553903 is an apocalyptic number.

2553903 is a deficient number, since it is larger than the sum of its proper divisors (1574097).

2553903 is a wasteful number, since it uses less digits than its factorization.

2553903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 2553903 is about 1598.0935517047. The cubic root of 2553903 is about 136.6893881186.

The spelling of 2553903 in words is "two million, five hundred fifty-three thousand, nine hundred three".

Divisors: 1 3 9 11 27 33 99 297 8599 25797 77391 94589 232173 283767 851301 2553903