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2048382 = 23375419
BaseRepresentation
bin111110100000101111110
310212001212000
413310011332
51011022012
6111523130
723260650
oct7640576
93761760
102048382
111179a86
128294a6
1356947b
143b46d0
152a6ddc
hex1f417e

2048382 has 32 divisors (see below), whose sum is σ = 5203200. Its totient is φ = 585144.

The previous prime is 2048369. The next prime is 2048413. The reversal of 2048382 is 2838402.

It is a Cunningham number, because it is equal to 1273-1.

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

It is a congruent number.

It is an unprimeable number.

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, 2332 + ... + 3087.

It is an arithmetic number, because the mean of its divisors is an integer number (162600).

22048382 is an apocalyptic number.

2048382 is an abundant number, since it is smaller than the sum of its proper divisors (3154818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2048382 is a wasteful number, since it uses less digits than its factorization.

2048382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2048382 is about 1431.2169646843. The cubic root of 2048382 is about 126.9999793333. Note that the first 4 decimals are identical.

The spelling of 2048382 in words is "two million, forty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 5419 10838 16257 32514 37933 48771 75866 97542 113799 146313 227598 292626 341397 682794 1024191 2048382