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1045456 = 24192181
BaseRepresentation
bin11111111001111010000
31222010002121
43333033100
5231423311
634224024
711612656
oct3771720
91863077
101045456
11654515
12425014
132a7b19
141d2dd6
15159b71
hexff3d0

1045456 has 30 divisors (see below), whose sum is σ = 2149602. Its totient is φ = 492480.

The previous prime is 1045427. The next prime is 1045469. The reversal of 1045456 is 6545401.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 467856 = 760^2 + 684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1045456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5686 + ... + 5866.

21045456 is an apocalyptic number.

1045456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074801).

1045456 is an abundant number, since it is smaller than the sum of its proper divisors (1104146).

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

1045456 is a wasteful number, since it uses less digits than its factorization.

1045456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1045456 is about 1022.4754275776. The cubic root of 1045456 is about 101.4928044597.

Subtracting 1045456 from its reverse (6545401), we obtain a palindrome (5499945).

The spelling of 1045456 in words is "one million, forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 181 304 361 362 722 724 1444 1448 2888 2896 3439 5776 6878 13756 27512 55024 65341 130682 261364 522728 1045456