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3829568 = 26531129
BaseRepresentation
bin1110100110111101000000
321012120011212
432212331000
51440021233
6214025252
744356631
oct16467500
97176155
103829568
112186236
121348228
13a41122
14719888
15509a48
hex3a6f40

3829568 has 28 divisors (see below), whose sum is σ = 7749540. Its totient is φ = 1876992.

The previous prime is 3829559. The next prime is 3829597. The reversal of 3829568 is 8659283.

3829568 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1420864 + 2408704 = 1192^2 + 1552^2 .

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 3 ways as a sum of consecutive naturals, for example, 2828 + ... + 3956.

Almost surely, 23829568 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 3829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874770).

3829568 is an abundant number, since it is smaller than the sum of its proper divisors (3919972).

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

3829568 is a wasteful number, since it uses less digits than its factorization.

3829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1184 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 3829568 is about 1956.9282051215. The cubic root of 3829568 is about 156.4527718344.

The spelling of 3829568 in words is "three million, eight hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1129 1696 2258 3392 4516 9032 18064 36128 59837 72256 119674 239348 478696 957392 1914784 3829568