Search a number
-
+
26365248 = 2632713503
BaseRepresentation
bin110010010010…
…0110101000000
31211121111022200
41210210311000
523222141443
62341033200
7440046420
oct144446500
954544280
1026365248
1113978668
1289b5800
135601750
143704480
1524abdd3
hex1924d40

26365248 has 168 divisors, whose sum is σ = 93195648. Its totient is φ = 6939648.

The previous prime is 26365243. The next prime is 26365289. The reversal of 26365248 is 84256362.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26365243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52165 + ... + 52667.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 226365248 is an apocalyptic number.

26365248 is a gapful number since it is divisible by the number (28) 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 26365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597824).

26365248 is an abundant number, since it is smaller than the sum of its proper divisors (66830400).

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

26365248 is a wasteful number, since it uses less digits than its factorization.

26365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 26365248 is about 5134.7101184001. The cubic root of 26365248 is about 297.6303992533.

The spelling of 26365248 in words is "twenty-six million, three hundred sixty-five thousand, two hundred forty-eight".