Search a number
-
+
2881256 = 237232237
BaseRepresentation
bin1010111111011011101000
312102101100012
422333123220
51214200011
6141431052
733330110
oct12773350
95371305
102881256
111698804
12b6b488
1379b5b1
14550040
153bda8b
hex2bf6e8

2881256 has 32 divisors (see below), whose sum is σ = 6445440. Its totient is φ = 1180608.

The previous prime is 2881253. The next prime is 2881261. The reversal of 2881256 is 6521882.

2881256 = T489 + T490 + ... + T511.

It is a super-2 number, since 2×28812562 = 16603272275072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 28 + 86 + 87 + 1 + 217 + 58 + 6 .

It is not an unprimeable number, because it can be changed into a prime (2881253) 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, 170 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (201420).

22881256 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 2881256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222720).

2881256 is an abundant number, since it is smaller than the sum of its proper divisors (3564184).

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

2881256 is a wasteful number, since it uses less digits than its factorization.

2881256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 2881256 is about 1697.4262870593. The cubic root of 2881256 is about 142.2964118496.

The spelling of 2881256 in words is "two million, eight hundred eighty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 2237 4474 8948 15659 17896 31318 51451 62636 102902 125272 205804 360157 411608 720314 1440628 2881256