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1249392 = 24326029
BaseRepresentation
bin100110001000001110000
32100110211210
410301001300
5304440032
642440120
713422354
oct4610160
92313753
101249392
11783761
12503040
133498b1
14247464
1519a2cc
hex131070

1249392 has 20 divisors (see below), whose sum is σ = 3227720. Its totient is φ = 416448.

The previous prime is 1249373. The next prime is 1249397. The reversal of 1249392 is 2939421.

1249392 = T53 + T54 + ... + T196.

It is a Smith number, since the sum of its digits (30) 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 (1249397) 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, 12967 + ... + 13062.

It is an arithmetic number, because the mean of its divisors is an integer number (161386).

21249392 is an apocalyptic number.

1249392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1249392 is an abundant number, since it is smaller than the sum of its proper divisors (1978328).

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

1249392 is a wasteful number, since it uses less digits than its factorization.

1249392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26040 (or 26034 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 1249392 is about 1117.7620498120. The cubic root of 1249392 is about 107.7042663852.

It can be divided in two parts, 12 and 49392, that multiplied together give a cube (592704 = 843).

The spelling of 1249392 in words is "one million, two hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 26029 52058 78087 104116 156174 208232 312348 416464 624696 1249392