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1090448 = 241719211
BaseRepresentation
bin100001010001110010000
32001101210222
410022032100
5234343243
635212212
712161102
oct4121620
92041728
101090448
116852a7
12447068
132c2448
14205572
15168168
hex10a390

1090448 has 40 divisors (see below), whose sum is σ = 2365920. Its totient is φ = 483840.

The previous prime is 1090423. The next prime is 1090457. The reversal of 1090448 is 8440901.

It is an unprimeable number.

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, 5063 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (59148).

21090448 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 1090448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182960).

1090448 is an abundant number, since it is smaller than the sum of its proper divisors (1275472).

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

1090448 is a wasteful number, since it uses less digits than its factorization.

1090448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1090448 is about 1044.2451819377. The cubic root of 1090448 is about 102.9283442924.

The spelling of 1090448 in words is "one million, ninety thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 211 272 304 323 422 646 844 1292 1688 2584 3376 3587 4009 5168 7174 8018 14348 16036 28696 32072 57392 64144 68153 136306 272612 545224 1090448