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2048193 = 33710837
BaseRepresentation
bin111110100000011000001
310212001121000
413310003001
51011020233
6111522213
723260260
oct7640301
93761530
102048193
111179924
12829369
13569364
143b45d7
152a6d13
hex1f40c1

2048193 has 16 divisors (see below), whose sum is σ = 3468160. Its totient is φ = 1170288.

The previous prime is 2048171. The next prime is 2048203. The reversal of 2048193 is 3918402.

It is not a de Polignac number, because 2048193 - 28 = 2047937 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5230 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (216760).

22048193 is an apocalyptic number.

It is an amenable number.

2048193 is a deficient number, since it is larger than the sum of its proper divisors (1419967).

2048193 is a wasteful number, since it uses less digits than its factorization.

2048193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2048193 is about 1431.1509354362. The cubic root of 2048193 is about 126.9960732041.

The spelling of 2048193 in words is "two million, forty-eight thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 189 10837 32511 75859 97533 227577 292599 682731 2048193