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2628468 = 223273013
BaseRepresentation
bin1010000001101101110100
311221112120200
422001231310
51133102333
6132200500
731225113
oct12015564
94845520
102628468
111535897
12a69130
1371050b
144c5c7a
1536dc13
hex281b74

2628468 has 18 divisors (see below), whose sum is σ = 6644274. Its totient is φ = 876144.

The previous prime is 2628407. The next prime is 2628481. The reversal of 2628468 is 8648262.

It can be written as a sum of positive squares in only one way, i.e., 2490084 + 138384 = 1578^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 73013 = 2628468 / (2 + 6 + 2 + 8 + 4 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36471 + ... + 36542.

22628468 is an apocalyptic number.

It is an amenable number.

2628468 is an abundant number, since it is smaller than the sum of its proper divisors (4015806).

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

2628468 is a wasteful number, since it uses less digits than its factorization.

2628468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73023 (or 73018 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2628468 is about 1621.2550693830. The cubic root of 2628468 is about 138.0069309688.

The spelling of 2628468 in words is "two million, six hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73013 146026 219039 292052 438078 657117 876156 1314234 2628468