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270438025 = 52112132232
BaseRepresentation
bin10000000111101…
…000111010001001
3200211212200020011
4100013220322021
51023213004100
642500231521
76462454024
oct2007507211
9624780204
10270438025
11129723100
127669b5a1
134404a300
1427cba1bb
1518b1ebba
hex101e8e89

270438025 has 81 divisors (see below), whose sum is σ = 417243477. Its totient is φ = 173659200.

The previous prime is 270438019. The next prime is 270438029. The reversal of 270438025 is 520834072.

The square root of 270438025 is 16445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69705801 + 200732224 = 8349^2 + 14168^2 .

It is not a de Polignac number, because 270438025 - 27 = 270437897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (270438029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11758164 + ... + 11758186.

Almost surely, 2270438025 is an apocalyptic number.

270438025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

270438025 is the 16445-th square number.

270438025 is the 8223-rd centered octagonal number.

It is an amenable number.

270438025 is a deficient number, since it is larger than the sum of its proper divisors (146805452).

270438025 is a wasteful number, since it uses less digits than its factorization.

270438025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The cubic root of 270438025 is about 646.6797353023.

It can be divided in two parts, 2704 and 38025, that multiplied together give a square (102819600 = 101402).

The spelling of 270438025 in words is "two hundred seventy million, four hundred thirty-eight thousand, twenty-five".

Divisors: 1 5 11 13 23 25 55 65 115 121 143 169 253 275 299 325 529 575 605 715 845 1265 1495 1573 1859 2645 2783 3025 3289 3575 3887 4225 5819 6325 6877 7475 7865 9295 13225 13915 16445 19435 20449 29095 34385 36179 39325 42757 46475 64009 69575 75647 82225 89401 97175 102245 145475 171925 180895 213785 320045 378235 447005 470327 511225 832117 904475 983411 1068925 1600225 1891175 2235025 2351635 4160585 4917055 10817521 11758175 20802925 24585275 54087605 270438025