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1056048 = 24372449
BaseRepresentation
bin100000001110100110000
31222122121220
410001310300
5232243143
634345040
711655600
oct4016460
91878556
101056048
11661474
1242b180
132ac8a6
141d6c00
1515cd83
hex101d30

1056048 has 60 divisors (see below), whose sum is σ = 3180600. Its totient is φ = 301056.

The previous prime is 1056047. The next prime is 1056049. The reversal of 1056048 is 8406501.

It is an interprime number because it is at equal distance from previous prime (1056047) and next prime (1056049).

It is a super-2 number, since 2×10560482 = 2230474756608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1056047) 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 11 ways as a sum of consecutive naturals, for example, 2128 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

21056048 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 1056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590300).

1056048 is an abundant number, since it is smaller than the sum of its proper divisors (2124552).

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

1056048 is a wasteful number, since it uses less digits than its factorization.

1056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1056048 is about 1027.6419609961. The cubic root of 1056048 is about 101.8344102920.

The spelling of 1056048 in words is "one million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 449 588 784 898 1176 1347 1796 2352 2694 3143 3592 5388 6286 7184 9429 10776 12572 18858 21552 22001 25144 37716 44002 50288 66003 75432 88004 132006 150864 176008 264012 352016 528024 1056048