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1393248 = 25323631
BaseRepresentation
bin101010100001001100000
32121210011210
411110021200
5324040443
645510120
714561643
oct5241140
92553153
101393248
1187184a
12572340
1339a20c
14283a5a
151c7c33
hex154260

1393248 has 48 divisors (see below), whose sum is σ = 3822336. Its totient is φ = 443520.

The previous prime is 1393241. The next prime is 1393253. The reversal of 1393248 is 8423931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13932482 = 3882279979008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393241) 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 7 ways as a sum of consecutive naturals, for example, 1893 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (79632).

21393248 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 1393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911168).

1393248 is an abundant number, since it is smaller than the sum of its proper divisors (2429088).

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

1393248 is a wasteful number, since it uses less digits than its factorization.

1393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 1393248 is about 1180.3592673419. The cubic root of 1393248 is about 111.6887617475.

The spelling of 1393248 in words is "one million, three hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 631 736 1104 1262 1893 2208 2524 3786 5048 7572 10096 14513 15144 20192 29026 30288 43539 58052 60576 87078 116104 174156 232208 348312 464416 696624 1393248