Search a number
-
+
2506656 = 25326111
BaseRepresentation
bin1001100011111110100000
311201100111010
421203332200
51120203111
6125420520
730210015
oct11437640
94640433
102506656
111462319
12a0a740
13699c39
1449370c
15347aa6
hex263fa0

2506656 has 24 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 835520.

The previous prime is 2506649. The next prime is 2506657. The reversal of 2506656 is 6566052.

2506656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2506657) 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, 12960 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (274176).

22506656 is an apocalyptic number.

It is an amenable number.

2506656 is an abundant number, since it is smaller than the sum of its proper divisors (4073568).

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

2506656 is a wasteful number, since it uses less digits than its factorization.

2506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26124 (or 26116 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2506656 is about 1583.2422429938. The cubic root of 2506656 is about 135.8412218519.

The spelling of 2506656 in words is "two million, five hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 26111 52222 78333 104444 156666 208888 313332 417776 626664 835552 1253328 2506656