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25078272 = 29329563
BaseRepresentation
bin101111110101…
…0101000000000
31202012002220220
41133222220000
522410001042
62253303040
7423106332
oct137525000
952162826
1025078272
111317974a
128494a80
135270a1b
14348b452
1523058ec
hex17eaa00

25078272 has 80 divisors (see below), whose sum is σ = 69236640. Its totient is φ = 8056832.

The previous prime is 25078217. The next prime is 25078321. The reversal of 25078272 is 27287052.

It is a zygodrome in base 4.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44263 + ... + 44825.

It is an arithmetic number, because the mean of its divisors is an integer number (865458).

Almost surely, 225078272 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 25078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618320).

25078272 is an abundant number, since it is smaller than the sum of its proper divisors (44158368).

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

25078272 is an equidigital number, since it uses as much as digits as its factorization.

25078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 25078272 is about 5007.8210830660. The cubic root of 25078272 is about 292.7066141913.

The spelling of 25078272 in words is "twenty-five million, seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 563 696 768 928 1126 1392 1536 1689 1856 2252 2784 3378 3712 4504 5568 6756 7424 9008 11136 13512 14848 16327 18016 22272 27024 32654 36032 44544 48981 54048 65308 72064 97962 108096 130616 144128 195924 216192 261232 288256 391848 432384 522464 783696 864768 1044928 1567392 2089856 3134784 4179712 6269568 8359424 12539136 25078272