Search a number
-
+
5836096 = 26721861
BaseRepresentation
bin10110010000110101000000
3101222111121201
4112100311000
52443223341
6325030544
7100414600
oct26206500
911874551
105836096
113326822
121b55454
131294516
14abcc00
157a4331
hex590d40

5836096 has 42 divisors (see below), whose sum is σ = 13479018. Its totient is φ = 2499840.

The previous prime is 5836093. The next prime is 5836177. The reversal of 5836096 is 6906385.

It can be written as a sum of positive squares in only one way, i.e., 3013696 + 2822400 = 1736^2 + 1680^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5836093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2206 + ... + 4066.

It is an arithmetic number, because the mean of its divisors is an integer number (320929).

Almost surely, 25836096 is an apocalyptic number.

5836096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739509).

5836096 is an abundant number, since it is smaller than the sum of its proper divisors (7642922).

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

5836096 is a wasteful number, since it uses less digits than its factorization.

5836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 5836096 is about 2415.8013163338. The cubic root of 5836096 is about 180.0421300561.

The spelling of 5836096 in words is "five million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1861 3136 3722 7444 13027 14888 26054 29776 52108 59552 91189 104216 119104 182378 208432 364756 416864 729512 833728 1459024 2918048 5836096