Search a number
-
+
2555648 = 2867149
BaseRepresentation
bin1001101111111100000000
311210211200122
421233330000
51123240043
6130435412
730502604
oct11577400
94724618
102555648
111496107
12a32b68
136b6324
144a7504
15357368
hex26ff00

2555648 has 36 divisors (see below), whose sum is σ = 5212200. Its totient is φ = 1250304.

The previous prime is 2555647. The next prime is 2555669. The reversal of 2555648 is 8465552.

2555648 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555647) 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 3 ways as a sum of consecutive naturals, for example, 17078 + ... + 17226.

22555648 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 2555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606100).

2555648 is an abundant number, since it is smaller than the sum of its proper divisors (2656552).

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

2555648 is an equidigital number, since it uses as much as digits as its factorization.

2555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its digits is 48000, while the sum is 35.

The square root of 2555648 is about 1598.6394215082. The cubic root of 2555648 is about 136.7205128556.

The spelling of 2555648 in words is "two million, five hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 149 256 268 298 536 596 1072 1192 2144 2384 4288 4768 8576 9536 9983 17152 19072 19966 38144 39932 79864 159728 319456 638912 1277824 2555648