Search a number
-
+
5775000 = 23355711
BaseRepresentation
bin10110000001111010011000
3101212101210220
4112001322120
52434300000
6323440040
7100041510
oct26017230
911771726
105775000
113294930
121b26020
13127277a
14aa4840
157911a0
hex581e98

5775000 has 192 divisors, whose sum is σ = 22498560. Its totient is φ = 1200000.

The previous prime is 5774987. The next prime is 5775017. The reversal of 5775000 is 5775.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524995 + ... + 525005.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 25775000 is an apocalyptic number.

5775000 is a gapful number since it is divisible by the number (50) 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 5775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

5775000 is an abundant number, since it is smaller than the sum of its proper divisors (16723560).

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

5775000 is a wasteful number, since it uses less digits than its factorization.

5775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 5775000 is about 2403.1229681396. The cubic root of 5775000 is about 179.4116593156.

Subtracting from 5775000 its product of nonzero digits (1225), we obtain a palindrome (5773775).

5775000 divided by its reverse (5775) gives a cube (1000 = 103).

It can be divided in two parts, 57 and 75000, that added together give a palindrome (75057).

The spelling of 5775000 in words is "five million, seven hundred seventy-five thousand".