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25683216 = 2431379521
BaseRepresentation
bin110000111111…
…0010100010000
31210022211202020
41201332110100
523033330331
62314251440
7431206116
oct141762420
953284666
1025683216
11135521a9
128726b80
135423190
1435a7ab6
1523c4c96
hex187e510

25683216 has 80 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 7787520.

The previous prime is 25683211. The next prime is 25683223. The reversal of 25683216 is 61238652.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25683211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49036 + ... + 49556.

It is an arithmetic number, because the mean of its divisors is an integer number (906192).

Almost surely, 225683216 is an apocalyptic number.

25683216 is a gapful number since it is divisible by the number (26) 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 25683216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

25683216 is an abundant number, since it is smaller than the sum of its proper divisors (46812144).

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

25683216 is a wasteful number, since it uses less digits than its factorization.

25683216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 25683216 is about 5067.8610872833. The cubic root of 25683216 is about 295.0415186225.

The spelling of 25683216 in words is "twenty-five million, six hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 521 624 632 948 1027 1042 1264 1563 1896 2054 2084 3081 3126 3792 4108 4168 6162 6252 6773 8216 8336 12324 12504 13546 16432 20319 24648 25008 27092 40638 41159 49296 54184 81276 82318 108368 123477 162552 164636 246954 325104 329272 493908 535067 658544 987816 1070134 1605201 1975632 2140268 3210402 4280536 6420804 8561072 12841608 25683216