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1252288 = 26171151
BaseRepresentation
bin100110001101111000000
32100121211001
410301233000
5310033123
642501344
713433662
oct4615700
92317731
101252288
11785954
12504854
1334accb
14248532
1519b0ad
hex131bc0

1252288 has 28 divisors (see below), whose sum is σ = 2633472. Its totient is φ = 588800.

The previous prime is 1252283. The next prime is 1252331. The reversal of 1252288 is 8822521.

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 (1252283) 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, 513 + ... + 1663.

21252288 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 1252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736).

1252288 is an abundant number, since it is smaller than the sum of its proper divisors (1381184).

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

1252288 is a wasteful number, since it uses less digits than its factorization.

1252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1170 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 1252288 is about 1119.0567456568. The cubic root of 1252288 is about 107.7874190625.

It can be divided in two parts, 1252 and 288, that added together give a triangular number (1540 = T55).

The spelling of 1252288 in words is "one million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1151 2302 4604 9208 18416 19567 36832 39134 73664 78268 156536 313072 626144 1252288