Search a number
-
+
5760496 = 247192707
BaseRepresentation
bin10101111110010111110000
3101211122220201
4111332113300
52433313441
6323244544
766651310
oct25762760
911748821
105760496
113284a45
121b19754
131268ca1
14a9d440
1578bc31
hex57e5f0

5760496 has 40 divisors (see below), whose sum is σ = 13431680. Its totient is φ = 2337984.

The previous prime is 5760437. The next prime is 5760497. The reversal of 5760496 is 6940675.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775 + ... + 3481.

It is an arithmetic number, because the mean of its divisors is an integer number (335792).

Almost surely, 25760496 is an apocalyptic number.

5760496 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 5760496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715840).

5760496 is an abundant number, since it is smaller than the sum of its proper divisors (7671184).

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

5760496 is a wasteful number, since it uses less digits than its factorization.

5760496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 5760496 is about 2400.1033311089. The cubic root of 5760496 is about 179.2613350312.

The spelling of 5760496 in words is "five million, seven hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2707 5414 10828 18949 21656 37898 43312 51433 75796 102866 151592 205732 303184 360031 411464 720062 822928 1440124 2880248 5760496