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3528256 = 26291901
BaseRepresentation
bin1101011101011001000000
320122020212011
431131121000
51400401011
6203342304
741663314
oct15353100
96566764
103528256
111a9a916
121221994
13966c34
1467bb44
1549a621
hex35d640

3528256 has 28 divisors (see below), whose sum is σ = 7246620. Its totient is φ = 1702400.

The previous prime is 3528253. The next prime is 3528257. The reversal of 3528256 is 6528253.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 2560000 = 984^2 + 1600^2 .

It is not an unprimeable number, because it can be changed into a prime (3528251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 906 + ... + 2806.

Almost surely, 23528256 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 3528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623310).

3528256 is an abundant number, since it is smaller than the sum of its proper divisors (3718364).

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

3528256 is a wasteful number, since it uses less digits than its factorization.

3528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1932 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 3528256 is about 1878.3652466972. The cubic root of 3528256 is about 152.2369342659.

The spelling of 3528256 in words is "three million, five hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 1901 3802 7604 15208 30416 55129 60832 110258 121664 220516 441032 882064 1764128 3528256