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7281038241 = 341924992
BaseRepresentation
bin1101100011111101…
…11101001110100001
3200210102120001210000
412301332331032201
5104402421210431
63202253530213
7345300542511
oct66176751641
920712501700
107281038241
1130a6a57884
1214b24a3969
138c05c5069
144d0dd5841
152c932e9e6
hex1b1fbd3a1

7281038241 has 45 divisors (see below), whose sum is σ = 11502245601. Its totient is φ = 4589334936.

The previous prime is 7281038227. The next prime is 7281038243. The reversal of 7281038241 is 1428301827.

The square root of 7281038241 is 85329.

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

It is not a de Polignac number, because 7281038241 - 231 = 5133554593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7281038196 and 7281038205.

It is not an unprimeable number, because it can be changed into a prime (7281038243) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14591010 + ... + 14591508.

Almost surely, 27281038241 is an apocalyptic number.

7281038241 is the 85329-th square number.

7281038241 is the 42665-th centered octagonal number.

It is an amenable number.

7281038241 is a deficient number, since it is larger than the sum of its proper divisors (4221207360).

7281038241 is an frugal number, since it uses more digits than its factorization.

7281038241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The cubic root of 7281038241 is about 1938.1963468886.

Multiplying 7281038241 by its sum of digits (36), we get a square (262117376676 = 5119742).

The spelling of 7281038241 in words is "seven billion, two hundred eighty-one million, thirty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 361 499 513 1083 1497 1539 3249 4491 9481 9747 13473 28443 29241 40419 85329 180139 249001 255987 540417 747003 767961 1621251 2241009 4731019 4863753 6723027 14193057 14591259 20169081 42579171 89889361 127737513 269668083 383212539 809004249 2427012747 7281038241