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2605428 = 223273211
BaseRepresentation
bin1001111100000101110100
311220100222100
421330011310
51131333203
6131502100
731101000
oct11740564
94810870
102605428
11151a551
12a57930
13702b97
144bb700
15366ea3
hex27c174

2605428 has 72 divisors (see below), whose sum is σ = 7716800. Its totient is φ = 740880.

The previous prime is 2605411. The next prime is 2605433. The reversal of 2605428 is 8245062.

2605428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12243 + ... + 12453.

22605428 is an apocalyptic number.

2605428 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 2605428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858400).

2605428 is an abundant number, since it is smaller than the sum of its proper divisors (5111372).

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

2605428 is a wasteful number, since it uses less digits than its factorization.

2605428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

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

The square root of 2605428 is about 1614.1338234484. The cubic root of 2605428 is about 137.6025108835.

The spelling of 2605428 in words is "two million, six hundred five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 211 252 294 343 422 441 588 633 686 844 882 1029 1266 1372 1477 1764 1899 2058 2532 2954 3087 3798 4116 4431 5908 6174 7596 8862 10339 12348 13293 17724 20678 26586 31017 41356 53172 62034 72373 93051 124068 144746 186102 217119 289492 372204 434238 651357 868476 1302714 2605428