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25908768 = 2533157191
BaseRepresentation
bin110001011010…
…1011000100000
31210202022011000
41202311120200
523113040033
62323152000
7433135524
oct142653040
953668130
1025908768
1113696706
128815600
1354a1a42
143625d84
15241ba13
hex18b5620

25908768 has 96 divisors (see below), whose sum is σ = 76446720. Its totient is φ = 8536320.

The previous prime is 25908767. The next prime is 25908781. The reversal of 25908768 is 86780952.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25908767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135553 + ... + 135743.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 225908768 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 25908768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223360).

25908768 is an abundant number, since it is smaller than the sum of its proper divisors (50537952).

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

25908768 is a wasteful number, since it uses less digits than its factorization.

25908768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 25908768 is about 5090.0656184375. The cubic root of 25908768 is about 295.9026950676.

The spelling of 25908768 in words is "twenty-five million, nine hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 191 216 288 314 382 432 471 573 628 764 864 942 1146 1256 1413 1528 1719 1884 2292 2512 2826 3056 3438 3768 4239 4584 5024 5157 5652 6112 6876 7536 8478 9168 10314 11304 13752 15072 16956 18336 20628 22608 27504 29987 33912 41256 45216 55008 59974 67824 82512 89961 119948 135648 165024 179922 239896 269883 359844 479792 539766 719688 809649 959584 1079532 1439376 1619298 2159064 2878752 3238596 4318128 6477192 8636256 12954384 25908768