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2550688 = 25759193
BaseRepresentation
bin1001101110101110100000
311210120212221
421232232200
51123110223
6130400424
730452260
oct11565640
94716787
102550688
111492408
12a30114
136b3caa
144a57a0
15355b5d
hex26eba0

2550688 has 48 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 1069056.

The previous prime is 2550683. The next prime is 2550689. The reversal of 2550688 is 8860552.

2550688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2550683) 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, 13120 + ... + 13312.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

22550688 is an apocalyptic number.

2550688 is a gapful number since it is divisible by the number (28) 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 2550688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280).

2550688 is an abundant number, since it is smaller than the sum of its proper divisors (3315872).

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

2550688 is a wasteful number, since it uses less digits than its factorization.

2550688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2550688 is about 1597.0873488949. The cubic root of 2550688 is about 136.6320065454.

The spelling of 2550688 in words is "two million, five hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 193 224 236 386 413 472 772 826 944 1351 1544 1652 1888 2702 3088 3304 5404 6176 6608 10808 11387 13216 21616 22774 43232 45548 79709 91096 159418 182192 318836 364384 637672 1275344 2550688