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1249424 = 241131229
BaseRepresentation
bin100110001000010010000
32100110212222
410301002100
5304440144
642440212
713422431
oct4610220
92313788
101249424
11783790
12503068
13349907
14247488
1519a2ee
hex131090

1249424 has 40 divisors (see below), whose sum is σ = 2737920. Its totient is φ = 547200.

The previous prime is 1249411. The next prime is 1249427. The reversal of 1249424 is 4249421.

1249424 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×12494242 = 3122120663552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1249393 and 1249402.

It is not an unprimeable number, because it can be changed into a prime (1249427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5342 + ... + 5570.

It is an arithmetic number, because the mean of its divisors is an integer number (68448).

21249424 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 1249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368960).

1249424 is an abundant number, since it is smaller than the sum of its proper divisors (1488496).

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

1249424 is a wasteful number, since it uses less digits than its factorization.

1249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 1249424 is about 1117.7763640371. The cubic root of 1249424 is about 107.7051859010.

The spelling of 1249424 in words is "one million, two hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 229 248 341 458 496 682 916 1364 1832 2519 2728 3664 5038 5456 7099 10076 14198 20152 28396 40304 56792 78089 113584 156178 312356 624712 1249424