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1148992 = 26131381
BaseRepresentation
bin100011000100001000000
32011101010021
410120201000
5243231432
640343224
712523555
oct4304100
92141107
101148992
11715289
12474b14
13312ca0
1421ca2c
1517a697
hex118840

1148992 has 28 divisors (see below), whose sum is σ = 2457196. Its totient is φ = 529920.

The previous prime is 1148989. The next prime is 1148999. The reversal of 1148992 is 2998411.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 817216 = 576^2 + 904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 1522.

It is an arithmetic number, because the mean of its divisors is an integer number (87757).

21148992 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 1148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228598).

1148992 is an abundant number, since it is smaller than the sum of its proper divisors (1308204).

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

1148992 is a wasteful number, since it uses less digits than its factorization.

1148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 1148992 is about 1071.9104440204. The cubic root of 1148992 is about 104.7383356135.

The spelling of 1148992 in words is "one million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1381 2762 5524 11048 17953 22096 35906 44192 71812 88384 143624 287248 574496 1148992