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2048353 is a prime number
BaseRepresentation
bin111110100000101100001
310212001210221
413310011201
51011021403
6111523041
723260606
oct7640541
93761727
102048353
111179a5a
12829481
13569458
143b46ad
152a6dbd
hex1f4161

2048353 has 2 divisors, whose sum is σ = 2048354. Its totient is φ = 2048352.

The previous prime is 2048339. The next prime is 2048359. The reversal of 2048353 is 3538402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1216609 + 831744 = 1103^2 + 912^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048353 - 29 = 2047841 is a prime.

It is a d-powerful number, because it can be written as 28 + 0 + 4 + 84 + 310 + 58 + 313 .

It is equal to p152278 and since 2048353 and 152278 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2048359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1024176 + 1024177.

It is an arithmetic number, because the mean of its divisors is an integer number (1024177).

22048353 is an apocalyptic number.

It is an amenable number.

2048353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048353 is an equidigital number, since it uses as much as digits as its factorization.

2048353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2048353 is about 1431.2068334102. The cubic root of 2048353 is about 126.9993799957. Note that the first 3 decimals are identical.

It can be divided in two parts, 2048 and 353, that added together give a 4-th power (2401 = 74).

The spelling of 2048353 in words is "two million, forty-eight thousand, three hundred fifty-three".