Search a number
-
+
8044144 = 241947563
BaseRepresentation
bin11110101011111001110000
3120010200111021
4132223321300
54024403034
6444225224
7125242213
oct36537160
916120437
108044144
1145a4759
12283b214
131888564
1410d577a
15a8d6b4
hex7abe70

8044144 has 40 divisors (see below), whose sum is σ = 16784640. Its totient is φ = 3722688.

The previous prime is 8044123. The next prime is 8044171. The reversal of 8044144 is 4414408.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14007 + ... + 14569.

It is an arithmetic number, because the mean of its divisors is an integer number (419616).

Almost surely, 28044144 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 8044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392320).

8044144 is an abundant number, since it is smaller than the sum of its proper divisors (8740496).

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

8044144 is a wasteful number, since it uses less digits than its factorization.

8044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 8044144 is about 2836.2200196741. The cubic root of 8044144 is about 200.3671921039.

The spelling of 8044144 in words is "eight million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 563 752 893 1126 1786 2252 3572 4504 7144 9008 10697 14288 21394 26461 42788 52922 85576 105844 171152 211688 423376 502759 1005518 2011036 4022072 8044144