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3001056 = 25343727
BaseRepresentation
bin1011011100101011100000
312122110200020
423130223200
51232013211
6144153440
734336302
oct13345340
95573606
103001056
11176a813
121008880
13810c96
14581972
153e4306
hex2dcae0

3001056 has 48 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 975744.

The previous prime is 3001049. The next prime is 3001057. The reversal of 3001056 is 6501003.

3001056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3765 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 23001056 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 3001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032).

3001056 is an abundant number, since it is smaller than the sum of its proper divisors (5071008).

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

3001056 is a wasteful number, since it uses less digits than its factorization.

3001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3001056 is about 1732.3556216897. The cubic root of 3001056 is about 144.2418774405.

Adding to 3001056 its reverse (6501003), we get a palindrome (9502059).

The spelling of 3001056 in words is "three million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 727 1032 1376 1454 2064 2181 2908 4128 4362 5816 8724 11632 17448 23264 31261 34896 62522 69792 93783 125044 187566 250088 375132 500176 750264 1000352 1500528 3001056