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25252608 = 283131251
BaseRepresentation
bin110000001010…
…1001100000000
31202111222001210
41200111030000
522431040413
62301130120
7424433523
oct140251400
952458053
1025252608
1113288727
128559940
135302194
1434d4bba
15233c3c3
hex1815300

25252608 has 72 divisors (see below), whose sum is σ = 67991616. Its totient is φ = 8320000.

The previous prime is 25252603. The next prime is 25252609. The reversal of 25252608 is 80625252.

It is not an unprimeable number, because it can be changed into a prime (25252603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100483 + ... + 100733.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 225252608 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 25252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33995808).

25252608 is an abundant number, since it is smaller than the sum of its proper divisors (42739008).

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

25252608 is a wasteful number, since it uses less digits than its factorization.

25252608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 25252608 is about 5025.1973095591. The cubic root of 25252608 is about 293.3833156334.

The spelling of 25252608 in words is "twenty-five million, two hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 251 256 262 384 393 502 524 753 768 786 1004 1048 1506 1572 2008 2096 3012 3144 4016 4192 6024 6288 8032 8384 12048 12576 16064 16768 24096 25152 32128 32881 33536 48192 50304 64256 65762 96384 98643 100608 131524 192768 197286 263048 394572 526096 789144 1052192 1578288 2104384 3156576 4208768 6313152 8417536 12626304 25252608