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25980480 = 263353197
BaseRepresentation
bin110001100011…
…0111001000000
31210212221112000
41203012321000
523122333410
62324504000
7433554561
oct143067100
953787460
1025980480
1113735579
12884b000
1354c8586
143644168
152432dc0
hex18c6e40

25980480 has 224 divisors, whose sum is σ = 95585280. Its totient is φ = 6635520.

The previous prime is 25980463. The next prime is 25980497. The reversal of 25980480 is 8408952.

It is an interprime number because it is at equal distance from previous prime (25980463) and next prime (25980497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267792 + ... + 267888.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 225980480 is an apocalyptic number.

25980480 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 25980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792640).

25980480 is an abundant number, since it is smaller than the sum of its proper divisors (69604800).

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

25980480 is a wasteful number, since it uses less digits than its factorization.

25980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25980480 is about 5097.1050607183. The cubic root of 25980480 is about 296.1754499162.

The spelling of 25980480 in words is "twenty-five million, nine hundred eighty thousand, four hundred eighty".