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4064896 = 27112887
BaseRepresentation
bin1111100000011010000000
321122111222201
433200122000
52020034041
6223042544
746360003
oct17403200
97574881
104064896
112327020
121440454
13ac4284
1477b53a
15554631
hex3e0680

4064896 has 32 divisors (see below), whose sum is σ = 8837280. Its totient is φ = 1847040.

The previous prime is 4064881. The next prime is 4064899. The reversal of 4064896 is 6984604.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4064899) 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, 36 + ... + 2851.

It is an arithmetic number, because the mean of its divisors is an integer number (276165).

Almost surely, 24064896 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 4064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418640).

4064896 is an abundant number, since it is smaller than the sum of its proper divisors (4772384).

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

4064896 is a wasteful number, since it uses less digits than its factorization.

4064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4064896 is about 2016.1587239104. The cubic root of 4064896 is about 159.5939704969.

The spelling of 4064896 in words is "four million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2887 5774 11548 23096 31757 46192 63514 92384 127028 184768 254056 369536 508112 1016224 2032448 4064896