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25260480 = 2632572179
BaseRepresentation
bin110000001011…
…1000111000000
31202112100212100
41200113013000
522431313410
62301230400
7424465500
oct140270700
952470770
1025260480
1113293633
128562400
13530593b
1434d7a00
15233e8c0
hex18171c0

25260480 has 252 divisors, whose sum is σ = 101635560. Its totient is φ = 5741568.

The previous prime is 25260457. The next prime is 25260491. The reversal of 25260480 is 8406252.

25260480 is a `hidden beast` number, since 2 + 52 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141031 + ... + 141209.

Almost surely, 225260480 is an apocalyptic number.

25260480 is a gapful number since it is divisible by the number (20) 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 25260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50817780).

25260480 is an abundant number, since it is smaller than the sum of its proper divisors (76375080).

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

25260480 is a wasteful number, since it uses less digits than its factorization.

25260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25260480 is about 5025.9805013549. The cubic root of 25260480 is about 293.4137979440.

The spelling of 25260480 in words is "twenty-five million, two hundred sixty thousand, four hundred eighty".