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3528928 = 251317499
BaseRepresentation
bin1101011101100011100000
320122021210001
431131203200
51400411203
6203345344
741665264
oct15354340
96567701
103528928
111aa0377
121222254
13967330
1467c0a4
1549a91d
hex35d8e0

3528928 has 48 divisors (see below), whose sum is σ = 7938000. Its totient is φ = 1529856.

The previous prime is 3528907. The next prime is 3528961. The reversal of 3528928 is 8298253.

3528928 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 7 ways as a sum of consecutive naturals, for example, 6823 + ... + 7321.

It is an arithmetic number, because the mean of its divisors is an integer number (165375).

Almost surely, 23528928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969000).

3528928 is an abundant number, since it is smaller than the sum of its proper divisors (4409072).

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

3528928 is a wasteful number, since it uses less digits than its factorization.

3528928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 3528928 is about 1878.5441171290. The cubic root of 3528928 is about 152.2465987882.

The spelling of 3528928 in words is "three million, five hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 499 544 884 998 1768 1996 3536 3992 6487 7072 7984 8483 12974 15968 16966 25948 33932 51896 67864 103792 110279 135728 207584 220558 271456 441116 882232 1764464 3528928