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2628801 = 33721987
BaseRepresentation
bin1010000001110011000001
311221120001000
422001303001
51133110201
6132202213
731226100
oct12016301
94846030
102628801
11153606a
12a69369
13710706
144c6037
1536dd86
hex281cc1

2628801 has 24 divisors (see below), whose sum is σ = 4532640. Its totient is φ = 1501416.

The previous prime is 2628781. The next prime is 2628809. The reversal of 2628801 is 1088262.

It is not a de Polignac number, because 2628801 - 26 = 2628737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 330 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (188860).

22628801 is an apocalyptic number.

2628801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2628801 is a deficient number, since it is larger than the sum of its proper divisors (1903839).

2628801 is a wasteful number, since it uses less digits than its factorization.

2628801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2628801 is about 1621.3577643444. The cubic root of 2628801 is about 138.0127587447.

The spelling of 2628801 in words is "two million, six hundred twenty-eight thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 1987 5961 13909 17883 41727 53649 97363 125181 292089 375543 876267 2628801