Search a number
-
+
5762016 = 25361319
BaseRepresentation
bin10101111110101111100000
3101211202000000
4111332233200
52433341031
6323300000
766655611
oct25765740
911752000
105762016
1132860a7
121b1a600
1312698a0
14a9dc08
1578c3e6
hex57ebe0

5762016 has 168 divisors, whose sum is σ = 19280520. Its totient is φ = 1679616.

The previous prime is 5762011. The next prime is 5762027. The reversal of 5762016 is 6102675.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5762011) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303255 + ... + 303273.

It is an arithmetic number, because the mean of its divisors is an integer number (114765).

Almost surely, 25762016 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 5762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640260).

5762016 is an abundant number, since it is smaller than the sum of its proper divisors (13518504).

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

5762016 is a wasteful number, since it uses less digits than its factorization.

5762016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5762016 is about 2400.4199632564. The cubic root of 5762016 is about 179.2771006450.

The spelling of 5762016 in words is "five million, seven hundred sixty-two thousand, sixteen".