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26398848 = 273722361
BaseRepresentation
bin110010010110…
…1000010000000
31211200012102010
41210231002000
523224230343
62341452520
7440246400
oct144550200
954605363
1026398848
11139a0933
128a11140
135613b28
143712800
1524b6d33
hex192d080

26398848 has 192 divisors, whose sum is σ = 86512320. Its totient is φ = 7096320.

The previous prime is 26398829. The next prime is 26398849. The reversal of 26398848 is 84889362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (663552) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 26398797 and 26398806.

It is not an unprimeable number, because it can be changed into a prime (26398849) 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, 432738 + ... + 432798.

It is an arithmetic number, because the mean of its divisors is an integer number (450585).

Almost surely, 226398848 is an apocalyptic number.

26398848 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 26398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160).

26398848 is an abundant number, since it is smaller than the sum of its proper divisors (60113472).

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

26398848 is a wasteful number, since it uses less digits than its factorization.

26398848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 26398848 is about 5137.9809263951. The cubic root of 26398848 is about 297.7567794571.

The spelling of 26398848 in words is "twenty-six million, three hundred ninety-eight thousand, eight hundred forty-eight".