Search a number
-
+
2771808 = 253132221
BaseRepresentation
bin1010100100101101100000
312012211012120
422210231200
51202144213
6135224240
732363034
oct12445540
95184176
102771808
111623556
12b18080
13760830
145221c4
1539b423
hex2a4b60

2771808 has 48 divisors (see below), whose sum is σ = 7839216. Its totient is φ = 852480.

The previous prime is 2771801. The next prime is 2771809. The reversal of 2771808 is 8081772.

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 (2771801) 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, 138 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (163317).

22771808 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 2771808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919608).

2771808 is an abundant number, since it is smaller than the sum of its proper divisors (5067408).

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

2771808 is a wasteful number, since it uses less digits than its factorization.

2771808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 2771808 is about 1664.8747700653. The cubic root of 2771808 is about 140.4713365454.

The spelling of 2771808 in words is "two million, seven hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2221 4442 6663 8884 13326 17768 26652 28873 35536 53304 57746 71072 86619 106608 115492 173238 213216 230984 346476 461968 692952 923936 1385904 2771808