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27250272 = 2532721931
BaseRepresentation
bin110011111110…
…0111001100000
31220021110100100
41213330321200
523434002042
62412022400
7450423600
oct147747140
956243310
1027250272
1114422595
129161a00
13585152a
143894c00
1525d424c
hex19fce60

27250272 has 108 divisors (see below), whose sum is σ = 90191556. Its totient is φ = 7781760.

The previous prime is 27250229. The next prime is 27250273. The reversal of 27250272 is 27205272.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27250273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13147 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (835107).

Almost surely, 227250272 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 27250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45095778).

27250272 is an abundant number, since it is smaller than the sum of its proper divisors (62941284).

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

27250272 is a wasteful number, since it uses less digits than its factorization.

27250272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 27250272 is about 5220.1793072652. The cubic root of 27250272 is about 300.9240839734.

The spelling of 27250272 in words is "twenty-seven million, two hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 1931 2016 2352 3528 3862 4704 5793 7056 7724 11586 13517 14112 15448 17379 23172 27034 30896 34758 40551 46344 54068 61792 69516 81102 92688 94619 108136 121653 139032 162204 185376 189238 216272 243306 278064 283857 324408 378476 432544 486612 556128 567714 648816 756952 851571 973224 1135428 1297632 1513904 1703142 1946448 2270856 3027808 3406284 3892896 4541712 6812568 9083424 13625136 27250272