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2608928 = 25719613
BaseRepresentation
bin1001111100111100100000
311220112202222
421330330200
51131441203
6131530212
731114130
oct11747440
94815688
102608928
111522143
12a59968
1370465a
144bcac0
15368038
hex27cf20

2608928 has 48 divisors (see below), whose sum is σ = 6189120. Its totient is φ = 1057536.

The previous prime is 2608919. The next prime is 2608933. The reversal of 2608928 is 8298062.

2608928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3950 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (128940).

22608928 is an apocalyptic number.

2608928 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 2608928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094560).

2608928 is an abundant number, since it is smaller than the sum of its proper divisors (3580192).

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

2608928 is a wasteful number, since it uses less digits than its factorization.

2608928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2608928 is about 1615.2176323951. The cubic root of 2608928 is about 137.6640993944.

The spelling of 2608928 in words is "two million, six hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 613 1064 1226 2128 2452 4256 4291 4904 8582 9808 11647 17164 19616 23294 34328 46588 68656 81529 93176 137312 163058 186352 326116 372704 652232 1304464 2608928