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26448240 = 24357213173
BaseRepresentation
bin110010011100…
…1000101110000
31211202201011110
41210321011300
523232320430
62342513320
7440543400
oct144710560
954681143
1026448240
1113a24a55
128a35840
135630460
143726800
1524c67b0
hex1939170

26448240 has 240 divisors, whose sum is σ = 103305888. Its totient is φ = 5548032.

The previous prime is 26448223. The next prime is 26448241. The reversal of 26448240 is 4284462.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26448198 and 26448207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26448241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152794 + ... + 152966.

Almost surely, 226448240 is an apocalyptic number.

26448240 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 26448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51652944).

26448240 is an abundant number, since it is smaller than the sum of its proper divisors (76857648).

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

26448240 is a wasteful number, since it uses less digits than its factorization.

26448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 26448240 is about 5142.7852375926. The cubic root of 26448240 is about 297.9423638214.

The spelling of 26448240 in words is "twenty-six million, four hundred forty-eight thousand, two hundred forty".