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2628045 = 3657103
BaseRepresentation
bin1010000001100111001101
311221112000000
422001213031
51133044140
6132154513
731223640
oct12014715
94845000
102628045
111535542
12a68a39
13710274
144c5a57
1536da30
hex2819cd

2628045 has 56 divisors (see below), whose sum is σ = 5456256. Its totient is φ = 1189728.

The previous prime is 2627993. The next prime is 2628053. The reversal of 2628045 is 5408262.

It is not a de Polignac number, because 2628045 - 26 = 2627981 is a prime.

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

It is a Curzon number.

2628045 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25464 + ... + 25566.

22628045 is an apocalyptic number.

It is an amenable number.

2628045 is an abundant number, since it is smaller than the sum of its proper divisors (2828211).

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

2628045 is an equidigital number, since it uses as much as digits as its factorization.

2628045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2628045 is about 1621.1246096460. The cubic root of 2628045 is about 137.9995274086. Note that the first 3 decimals are identical.

Adding to 2628045 its sum of digits (27), we get a cube (2628072 = 1383).

The spelling of 2628045 in words is "two million, six hundred twenty-eight thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 103 105 135 189 243 309 315 405 515 567 721 729 927 945 1215 1545 1701 2163 2781 2835 3605 3645 4635 5103 6489 8343 8505 10815 13905 19467 25029 25515 32445 41715 58401 75087 97335 125145 175203 292005 375435 525609 876015 2628045