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5726000 = 24537409
BaseRepresentation
bin10101110101111100110000
3101202220121002
4111311330300
52431213000
6322421132
766445610
oct25657460
911686532
105726000
113261035
121b017a8
131256387
14a90a40
157818d5
hex575f30

5726000 has 80 divisors (see below), whose sum is σ = 15862080. Its totient is φ = 1958400.

The previous prime is 5725981. The next prime is 5726023. The reversal of 5726000 is 6275.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13796 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (198276).

Almost surely, 25726000 is an apocalyptic number.

5726000 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 5726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931040).

5726000 is an abundant number, since it is smaller than the sum of its proper divisors (10136080).

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

5726000 is a wasteful number, since it uses less digits than its factorization.

5726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5726000 is about 2392.9061828663. The cubic root of 5726000 is about 178.9027904501.

The spelling of 5726000 in words is "five million, seven hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 409 500 560 700 818 875 1000 1400 1636 1750 2000 2045 2800 2863 3272 3500 4090 5726 6544 7000 8180 10225 11452 14000 14315 16360 20450 22904 28630 32720 40900 45808 51125 57260 71575 81800 102250 114520 143150 163600 204500 229040 286300 357875 409000 572600 715750 818000 1145200 1431500 2863000 5726000