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2048357 = 23293783
BaseRepresentation
bin111110100000101100101
310212001211002
413310011211
51011021412
6111523045
723260613
oct7640545
93761732
102048357
111179a63
12829485
1356945c
143b46b3
152a6dc2
hex1f4165

2048357 has 16 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 1818432.

The previous prime is 2048353. The next prime is 2048359. The reversal of 2048357 is 7538402.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2048357 - 22 = 2048353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a d-powerful number, because it can be written as 211 + 0 + 45 + 85 + 310 + 59 + 73 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048353) 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, 24638 + ... + 24720.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22048357 is an apocalyptic number.

It is an amenable number.

2048357 is a deficient number, since it is larger than the sum of its proper divisors (249883).

2048357 is a wasteful number, since it uses less digits than its factorization.

2048357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2048357 is about 1431.2082308316. The cubic root of 2048357 is about 126.9994626633. Note that the first 3 decimals are identical.

The spelling of 2048357 in words is "two million, forty-eight thousand, three hundred fifty-seven".

Divisors: 1 23 29 37 83 667 851 1073 1909 2407 3071 24679 55361 70633 89059 2048357