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25780608 = 2732723139
BaseRepresentation
bin110001001011…
…0000110000000
31210111210100100
41202112012000
523044434413
62320322400
7432063060
oct142260600
953453310
1025780608
1113609397
128773400
1354585c9
1435d13a0
1523e3a73
hex1896180

25780608 has 192 divisors, whose sum is σ = 89107200. Its totient is φ = 6994944.

The previous prime is 25780603. The next prime is 25780621. The reversal of 25780608 is 80608752.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25780603) 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, 185403 + ... + 185541.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 225780608 is an apocalyptic number.

25780608 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 25780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

25780608 is an abundant number, since it is smaller than the sum of its proper divisors (63326592).

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

25780608 is a wasteful number, since it uses less digits than its factorization.

25780608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 25780608 is about 5077.4607827141. The cubic root of 25780608 is about 295.4139854610.

The spelling of 25780608 in words is "twenty-five million, seven hundred eighty thousand, six hundred eight".