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26325000 = 23345513
BaseRepresentation
bin110010001101…
…1000000001000
31211112110010000
41210123000020
523214400000
62340123000
7436521162
oct144330010
954473100
1026325000
11139503a9
128996460
1355b9330
1436d3932
1524a0000
hex191b008

26325000 has 240 divisors, whose sum is σ = 99251460. Its totient is φ = 6480000.

The previous prime is 26324999. The next prime is 26325017. The reversal of 26325000 is 52362.

It can be written as a sum of positive squares in 6 ways, for example, as 7193124 + 19131876 = 2682^2 + 4374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2024994 + ... + 2025006.

Almost surely, 226325000 is an apocalyptic number.

26325000 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 26325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49625730).

26325000 is an abundant number, since it is smaller than the sum of its proper divisors (72926460).

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

26325000 is an equidigital number, since it uses as much as digits as its factorization.

26325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 26325000 is about 5130.7894129461. The cubic root of 26325000 is about 297.4788724021.

Adding to 26325000 its reverse (52362), we get a palindrome (26377362).

The spelling of 26325000 in words is "twenty-six million, three hundred twenty-five thousand".