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2048361 = 37103947
BaseRepresentation
bin111110100000101101001
310212001211020
413310011221
51011021421
6111523053
723260620
oct7640551
93761736
102048361
111179a67
12829489
13569463
143b46b7
152a6dc6
hex1f4169

2048361 has 16 divisors (see below), whose sum is σ = 3154944. Its totient is φ = 1157904.

The previous prime is 2048359. The next prime is 2048369. The reversal of 2048361 is 1638402.

It is a happy number.

It is not a de Polignac number, because 2048361 - 21 = 2048359 is a prime.

2048361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2048369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (197184).

22048361 is an apocalyptic number.

2048361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2048361 is a deficient number, since it is larger than the sum of its proper divisors (1106583).

2048361 is a wasteful number, since it uses less digits than its factorization.

2048361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2048361 is about 1431.2096282516. The cubic root of 2048361 is about 126.9995453308. Note that the first 3 decimals are identical.

The spelling of 2048361 in words is "two million, forty-eight thousand, three hundred sixty-one".

Divisors: 1 3 7 21 103 309 721 947 2163 2841 6629 19887 97541 292623 682787 2048361