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5852000 = 255371119
BaseRepresentation
bin10110010100101101100000
3102000022102202
4112110231200
52444231000
6325232332
7100512140
oct26245540
912008382
105852000
113337770
121b626a8
13129b82b
14ac4920
157a8dd5
hex594b60

5852000 has 192 divisors, whose sum is σ = 18869760. Its totient is φ = 1728000.

The previous prime is 5851991. The next prime is 5852009. The reversal of 5852000 is 2585.

It is an interprime number because it is at equal distance from previous prime (5851991) and next prime (5852009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852009) 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, 307991 + ... + 308009.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 25852000 is an apocalyptic number.

5852000 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 5852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5852000 is an abundant number, since it is smaller than the sum of its proper divisors (13017760).

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

5852000 is a wasteful number, since it uses less digits than its factorization.

5852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5852000 is about 2419.0907382734. The cubic root of 5852000 is about 180.2055265544.

Adding to 5852000 its reverse (2585), we get a palindrome (5854585).

The spelling of 5852000 in words is "five million, eight hundred fifty-two thousand".