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2608016 = 241923373
BaseRepresentation
bin1001111100101110010000
311220111112012
421330232100
51131424031
6131522052
731111355
oct11745620
94814465
102608016
111521494
12a59328
13704108
144bc62c
15367b2b
hex27cb90

2608016 has 40 divisors (see below), whose sum is σ = 5565120. Its totient is φ = 1178496.

The previous prime is 2608013. The next prime is 2608033. The reversal of 2608016 is 6108062.

2608016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2607982 and 2608000.

It is not an unprimeable number, because it can be changed into a prime (2608013) 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, 6806 + ... + 7178.

It is an arithmetic number, because the mean of its divisors is an integer number (139128).

22608016 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 2608016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782560).

2608016 is an abundant number, since it is smaller than the sum of its proper divisors (2957104).

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

2608016 is a wasteful number, since it uses less digits than its factorization.

2608016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2608016 is about 1614.9352928214. The cubic root of 2608016 is about 137.6480564973.

The spelling of 2608016 in words is "two million, six hundred eight thousand, sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 373 437 746 874 1492 1748 2984 3496 5968 6992 7087 8579 14174 17158 28348 34316 56696 68632 113392 137264 163001 326002 652004 1304008 2608016