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2566048 = 25175389
BaseRepresentation
bin1001110010011110100000
311211100221211
421302132200
51124103143
6130555504
730545122
oct11623640
94740854
102566048
1114a2a01
12a38b94
136bac94
144ab212
1535a49d
hex2727a0

2566048 has 48 divisors (see below), whose sum is σ = 5511240. Its totient is φ = 1171456.

The previous prime is 2566027. The next prime is 2566049. The reversal of 2566048 is 8406652.

It can be written as a sum of positive squares in 4 ways, for example, as 2347024 + 219024 = 1532^2 + 468^2 .

It is not an unprimeable number, because it can be changed into a prime (2566049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28788 + ... + 28876.

22566048 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 2566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755620).

2566048 is an abundant number, since it is smaller than the sum of its proper divisors (2945192).

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

2566048 is a wasteful number, since it uses less digits than its factorization.

2566048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2566048 is about 1601.8888850354. Note that the first 5 decimals coincide. The cubic root of 2566048 is about 136.9057194938.

It can be divided in two parts, 2 and 566048, that multiplied together give a square (1132096 = 10642).

The spelling of 2566048 in words is "two million, five hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 68 89 106 136 178 212 272 356 424 544 712 848 901 1424 1513 1696 1802 2848 3026 3604 4717 6052 7208 9434 12104 14416 18868 24208 28832 37736 48416 75472 80189 150944 160378 320756 641512 1283024 2566048