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25385216 = 281719307
BaseRepresentation
bin110000011010…
…1100100000000
31202202200222012
41200311210000
522444311331
62304032052
7425525243
oct140654400
952680865
1025385216
111336931a
128602628
13534a64c
14352b25a
15236682b
hex1835900

25385216 has 72 divisors (see below), whose sum is σ = 56659680. Its totient is φ = 11280384.

The previous prime is 25385209. The next prime is 25385221. The reversal of 25385216 is 61258352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82535 + ... + 82841.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 225385216 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 25385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28329840).

25385216 is an abundant number, since it is smaller than the sum of its proper divisors (31274464).

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

25385216 is a wasteful number, since it uses less digits than its factorization.

25385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 25385216 is about 5038.3743409953. The cubic root of 25385216 is about 293.8959633127.

The spelling of 25385216 in words is "twenty-five million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 307 323 544 608 614 646 1088 1216 1228 1292 2176 2432 2456 2584 4352 4864 4912 5168 5219 5833 9824 10336 10438 11666 19648 20672 20876 23332 39296 41344 41752 46664 78592 82688 83504 93328 99161 167008 186656 198322 334016 373312 396644 668032 746624 793288 1336064 1493248 1586576 3173152 6346304 12692608 25385216