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4055168 = 27132437
BaseRepresentation
bin1111011110000010000000
321122000122102
433132002000
52014231133
6222525532
746316435
oct17360200
97560572
104055168
11231a787
1214368a8
13abca10
14777b8c
155517e8
hex3de080

4055168 has 32 divisors (see below), whose sum is σ = 8703660. Its totient is φ = 1870848.

The previous prime is 4055167. The next prime is 4055179. The reversal of 4055168 is 8615504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4032064 + 23104 = 2008^2 + 152^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4055168.

It is not an unprimeable number, because it can be changed into a prime (4055167) 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, 446 + ... + 2882.

Almost surely, 24055168 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 4055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351830).

4055168 is an abundant number, since it is smaller than the sum of its proper divisors (4648492).

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

4055168 is a wasteful number, since it uses less digits than its factorization.

4055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 4055168 is about 2013.7447703222. The cubic root of 4055168 is about 159.4665567996.

The spelling of 4055168 in words is "four million, fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2437 4874 9748 19496 31681 38992 63362 77984 126724 155968 253448 311936 506896 1013792 2027584 4055168