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26825000 = 23552937
BaseRepresentation
bin110011001010…
…1000100101000
31212110211222112
41212111010220
523331400000
62354541452
7444002666
oct146250450
955424875
1026825000
1114162024
128b97888
135732aa7
1437c3c36
15254d235
hex1995128

26825000 has 96 divisors (see below), whose sum is σ = 66792600. Its totient is φ = 10080000.

The previous prime is 26824981. The next prime is 26825021. The reversal of 26825000 is 52862.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6340324 + 20484676 = 2518^2 + 4526^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724982 + ... + 725018.

Almost surely, 226825000 is an apocalyptic number.

26825000 is a gapful number since it is divisible by the number (20) 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 26825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33396300).

26825000 is an abundant number, since it is smaller than the sum of its proper divisors (39967600).

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

26825000 is an equidigital number, since it uses as much as digits as its factorization.

26825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 26825000 is about 5179.2856650314. The cubic root of 26825000 is about 299.3504464676.

Adding to 26825000 its reverse (52862), we get a palindrome (26877862).

The spelling of 26825000 in words is "twenty-six million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 50 58 74 100 116 125 145 148 185 200 232 250 290 296 370 500 580 625 725 740 925 1000 1073 1160 1250 1450 1480 1850 2146 2500 2900 3125 3625 3700 4292 4625 5000 5365 5800 6250 7250 7400 8584 9250 10730 12500 14500 18125 18500 21460 23125 25000 26825 29000 36250 37000 42920 46250 53650 72500 90625 92500 107300 115625 134125 145000 181250 185000 214600 231250 268250 362500 462500 536500 670625 725000 925000 1073000 1341250 2682500 3353125 5365000 6706250 13412500 26825000