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5769216 = 21132313
BaseRepresentation
bin10110000000100000000000
3101212002212200
4112000200000
52434103331
6323353200
7100015605
oct26004000
911762780
105769216
113290552
121b22800
13126cc4b
14aa26ac
1578e5e6
hex580800

5769216 has 72 divisors (see below), whose sum is σ = 16715790. Its totient is φ = 1916928.

The previous prime is 5769199. The next prime is 5769241. The reversal of 5769216 is 6129675.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 9216 = 2400^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 55 + 78 + 63 + 93 + 27 + 1 + 63 .

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, 18276 + ... + 18588.

Almost surely, 25769216 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 5769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357895).

5769216 is an abundant number, since it is smaller than the sum of its proper divisors (10946574).

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

5769216 is a wasteful number, since it uses less digits than its factorization.

5769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 5769216 is about 2401.9192326138. The cubic root of 5769216 is about 179.3517422204.

It can be divided in two parts, 576 and 9216, that multiplied together give a 4-th power (5308416 = 484).

The spelling of 5769216 in words is "five million, seven hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 313 384 512 576 626 768 939 1024 1152 1252 1536 1878 2048 2304 2504 2817 3072 3756 4608 5008 5634 6144 7512 9216 10016 11268 15024 18432 20032 22536 30048 40064 45072 60096 80128 90144 120192 160256 180288 240384 320512 360576 480768 641024 721152 961536 1442304 1923072 2884608 5769216