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2300048 = 24294957
BaseRepresentation
bin1000110001100010010000
311022212001222
420301202100
51042100143
6121144212
725356452
oct10614220
94285058
102300048
111331073
1292b068
13626b9a
1443c2d2
15306768
hex231890

2300048 has 20 divisors (see below), whose sum is σ = 4610940. Its totient is φ = 1110144.

The previous prime is 2300047. The next prime is 2300057. The reversal of 2300048 is 8400032.

It can be written as a sum of positive squares in 2 ways, for example, as 1607824 + 692224 = 1268^2 + 832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2299999 and 2300035.

It is not an unprimeable number, because it can be changed into a prime (2300047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2015 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (230547).

22300048 is an apocalyptic number.

It is an amenable number.

2300048 is an abundant number, since it is smaller than the sum of its proper divisors (2310892).

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

2300048 is a wasteful number, since it uses less digits than its factorization.

2300048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2300048 is about 1516.5909138591. The cubic root of 2300048 is about 132.0015304383.

The spelling of 2300048 in words is "two million, three hundred thousand, forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 4957 9914 19828 39656 79312 143753 287506 575012 1150024 2300048