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5435648 = 28171249
BaseRepresentation
bin10100101111000100000000
3101020011022022
4110233010000
52342420043
6312301012
764126241
oct24570400
911204268
105435648
113082979
1219a1768
13118417a
14a16cc8
15725868
hex52f100

5435648 has 36 divisors (see below), whose sum is σ = 11497500. Its totient is φ = 2555904.

The previous prime is 5435641. The next prime is 5435663. The reversal of 5435648 is 8465345.

It can be written as a sum of positive squares in 2 ways, for example, as 3268864 + 2166784 = 1808^2 + 1472^2 .

It is not an unprimeable number, because it can be changed into a prime (5435641) 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, 3728 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (319375).

Almost surely, 25435648 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 5435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748750).

5435648 is an abundant number, since it is smaller than the sum of its proper divisors (6061852).

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

5435648 is a wasteful number, since it uses less digits than its factorization.

5435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 5435648 is about 2331.4476189698. The cubic root of 5435648 is about 175.8262748577.

The spelling of 5435648 in words is "five million, four hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 1249 2176 2498 4352 4996 9992 19984 21233 39968 42466 79936 84932 159872 169864 319744 339728 679456 1358912 2717824 5435648