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25663488 = 21134177
BaseRepresentation
bin110000111100…
…1100000000000
31210021211200120
41201321200000
523032212423
62314020240
7431064444
oct141714000
953254616
1025663488
11135393a4
128717680
1354171c6
1435a0824
1523bdee3
hex1879800

25663488 has 48 divisors (see below), whose sum is σ = 68435640. Its totient is φ = 8552448.

The previous prime is 25663481. The next prime is 25663513. The reversal of 25663488 is 88436652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×256634882 = 1317229232652288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25663481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4056 + ... + 8232.

Almost surely, 225663488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34217820).

25663488 is an abundant number, since it is smaller than the sum of its proper divisors (42772152).

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

25663488 is an equidigital number, since it uses as much as digits as its factorization.

25663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4182 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 25663488 is about 5065.9143301086. The cubic root of 25663488 is about 294.9659560446.

The spelling of 25663488 in words is "twenty-five million, six hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4177 6144 8354 12531 16708 25062 33416 50124 66832 100248 133664 200496 267328 400992 534656 801984 1069312 1603968 2138624 3207936 4277248 6415872 8554496 12831744 25663488