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5772000 = 253531337
BaseRepresentation
bin10110000001001011100000
3101212020200210
4112001023200
52434201000
6323414120
7100026663
oct26011340
911766623
105772000
113292653
121b24340
1312712b0
14aa36da
15790350
hex5812e0

5772000 has 192 divisors, whose sum is σ = 20913984. Its totient is φ = 1382400.

The previous prime is 5771989. The next prime is 5772007. The reversal of 5772000 is 2775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155982 + ... + 156018.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 25772000 is an apocalyptic number.

5772000 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 5772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

5772000 is an abundant number, since it is smaller than the sum of its proper divisors (15141984).

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

5772000 is a wasteful number, since it uses less digits than its factorization.

5772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 5772000 is about 2402.4986992712. The cubic root of 5772000 is about 179.3805869805.

Adding to 5772000 its reverse (2775), we get a palindrome (5774775).

5772000 divided by its reverse (2775) gives a triangular number (2080 = T64).

The spelling of 5772000 in words is "five million, seven hundred seventy-two thousand".