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1128448 = 2111929
BaseRepresentation
bin100010011100000000000
32010022221101
410103200000
5242102243
640104144
712406636
oct4234000
92108841
101128448
11700902
12465054
13306829
14215356
1517454d
hex113800

1128448 has 48 divisors (see below), whose sum is σ = 2457000. Its totient is φ = 516096.

The previous prime is 1128433. The next prime is 1128451. The reversal of 1128448 is 8448211.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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, 38898 + ... + 38926.

21128448 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 1128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228500).

1128448 is an abundant number, since it is smaller than the sum of its proper divisors (1328552).

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

1128448 is an equidigital number, since it uses as much as digits as its factorization.

1128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 50 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 1128448 is about 1062.2843310527. The cubic root of 1128448 is about 104.1103365483.

The spelling of 1128448 in words is "one million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 464 512 551 608 928 1024 1102 1216 1856 2048 2204 2432 3712 4408 4864 7424 8816 9728 14848 17632 19456 29696 35264 38912 59392 70528 141056 282112 564224 1128448