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25528608 = 25357267
BaseRepresentation
bin110000101100…
…0100100100000
31210000222200000
41201120210200
523013403413
62311100000
7426663300
oct141304440
953028600
1025528608
1113457026
128671600
13539a9b1
143567600
152394073
hex1858920

25528608 has 216 divisors, whose sum is σ = 88884432. Its totient is φ = 7185024.

The previous prime is 25528603. The next prime is 25528619. The reversal of 25528608 is 80682552.

25528608 is a `hidden beast` number, since 25 + 5 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (25528603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380991 + ... + 381057.

It is an arithmetic number, because the mean of its divisors is an integer number (411502).

Almost surely, 225528608 is an apocalyptic number.

25528608 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 25528608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44442216).

25528608 is an abundant number, since it is smaller than the sum of its proper divisors (63355824).

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

25528608 is an equidigital number, since it uses as much as digits as its factorization.

25528608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 25528608 is about 5052.5842892524. The cubic root of 25528608 is about 294.4482956763.

The spelling of 25528608 in words is "twenty-five million, five hundred twenty-eight thousand, six hundred eight".