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1249352 = 231341293
BaseRepresentation
bin100110001000001001000
32100110210022
410301001020
5304434402
642440012
713422266
oct4610110
92313708
101249352
11783725
12503008
13349880
14247436
1519a2a2
hex131048

1249352 has 32 divisors (see below), whose sum is σ = 2593080. Its totient is φ = 560640.

The previous prime is 1249343. The next prime is 1249361. The reversal of 1249352 is 2539421.

It is an interprime number because it is at equal distance from previous prime (1249343) and next prime (1249361).

It can be written as a sum of positive squares in 4 ways, for example, as 857476 + 391876 = 926^2 + 626^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4118 + ... + 4410.

21249352 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 1249352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296540).

1249352 is an abundant number, since it is smaller than the sum of its proper divisors (1343728).

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

1249352 is a wasteful number, since it uses less digits than its factorization.

1249352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 1249352 is about 1117.7441567729. The cubic root of 1249352 is about 107.7031169684.

It can be divided in two parts, 12493 and 52, that multiplied together give a square (649636 = 8062).

The spelling of 1249352 in words is "one million, two hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 293 328 533 586 1066 1172 2132 2344 3809 4264 7618 12013 15236 24026 30472 48052 96104 156169 312338 624676 1249352