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26148096 = 28341397
BaseRepresentation
bin110001110111…
…1110100000000
31211012110110000
41203233310000
523143214341
62332240000
7435153342
oct143576400
954173400
1026148096
111383a4a7
128910000
135556960
143689292
1524678b6
hex18efd00

26148096 has 180 divisors, whose sum is σ = 84832132. Its totient is φ = 7962624.

The previous prime is 26148049. The next prime is 26148103. The reversal of 26148096 is 69084162.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 18662400 = 2736^2 + 4320^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 26148096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269520 + ... + 269616.

Almost surely, 226148096 is an apocalyptic number.

26148096 is a gapful number since it is divisible by the number (26) 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 26148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42416066).

26148096 is an abundant number, since it is smaller than the sum of its proper divisors (58684036).

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

26148096 is an equidigital number, since it uses as much as digits as its factorization.

26148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26148096 is about 5113.5209005146. The cubic root of 26148096 is about 296.8110215004.

The spelling of 26148096 in words is "twenty-six million, one hundred forty-eight thousand, ninety-six".