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1661248 = 26101257
BaseRepresentation
bin110010101100101000000
310010101210201
412111211000
5411124443
655334544
720056201
oct6254500
93111721
101661248
11a35136
12681454
134621b4
143135a8
1522c34d
hex195940

1661248 has 28 divisors (see below), whose sum is σ = 3342132. Its totient is φ = 819200.

The previous prime is 1661243. The next prime is 1661249. The reversal of 1661248 is 8421661.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 43264 = 1272^2 + 208^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6336 + ... + 6592.

21661248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671066).

1661248 is an abundant number, since it is smaller than the sum of its proper divisors (1680884).

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

1661248 is a wasteful number, since it uses less digits than its factorization.

1661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 1661248 is about 1288.8940996063. The cubic root of 1661248 is about 118.4344798533.

Subtracting from 1661248 its product of digits (2304), we obtain a square (1658944 = 12882).

The spelling of 1661248 in words is "one million, six hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 101 202 257 404 514 808 1028 1616 2056 3232 4112 6464 8224 16448 25957 51914 103828 207656 415312 830624 1661248