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4385696 = 25722797
BaseRepresentation
bin10000101110101110100000
322020211001012
4100232232200
52110320241
6234000052
752164200
oct20565640
98224035
104385696
112526047
121576028
13ba72b3
14822400
155b96eb
hex42eba0

4385696 has 36 divisors (see below), whose sum is σ = 10047618. Its totient is φ = 1878912.

The previous prime is 4385687. The next prime is 4385701. The reversal of 4385696 is 6965834.

4385696 = T253 + T254 + ... + T348.

It can be written as a sum of positive squares in only one way, i.e., 3312400 + 1073296 = 1820^2 + 1036^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170 + ... + 2966.

Almost surely, 24385696 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 4385696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023809).

4385696 is an abundant number, since it is smaller than the sum of its proper divisors (5661922).

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

4385696 is a wasteful number, since it uses less digits than its factorization.

4385696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2806 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 4385696 is about 2094.2053385473. The cubic root of 4385696 is about 163.6864920869.

The spelling of 4385696 in words is "four million, three hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2797 5594 11188 19579 22376 39158 44752 78316 89504 137053 156632 274106 313264 548212 626528 1096424 2192848 4385696