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2628808 = 2371323157
BaseRepresentation
bin1010000001110011001000
311221120001021
422001303020
51133110213
6132202224
731226110
oct12016310
94846037
102628808
111536076
12a69374
13710710
144c6040
1536dd8d
hex281cc8

2628808 has 64 divisors (see below), whose sum is σ = 6370560. Its totient is φ = 988416.

The previous prime is 2628781. The next prime is 2628809. The reversal of 2628808 is 8088262.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16666 + ... + 16822.

It is an arithmetic number, because the mean of its divisors is an integer number (99540).

22628808 is an apocalyptic number.

2628808 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 2628808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185280).

2628808 is an abundant number, since it is smaller than the sum of its proper divisors (3741752).

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

2628808 is a wasteful number, since it uses less digits than its factorization.

2628808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2628808 is about 1621.3599230276. The cubic root of 2628808 is about 138.0128812453.

The spelling of 2628808 in words is "two million, six hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 157 161 182 184 299 314 322 364 598 628 644 728 1099 1196 1256 1288 2041 2093 2198 2392 3611 4082 4186 4396 7222 8164 8372 8792 14287 14444 16328 16744 25277 28574 28888 46943 50554 57148 93886 101108 114296 187772 202216 328601 375544 657202 1314404 2628808