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1248138241 = 761032
BaseRepresentation
bin100101001100101…
…0001010000000001
310012222120222210021
41022121101100001
510024010410431
6323503533441
742634000000
oct11231212001
93188528707
101248138241
115905a5809
122a9bba281
1316b77a34c
14bbaa0c37
1574898b11
hex4a651401

1248138241 has 21 divisors (see below), whose sum is σ = 1470434241. Its totient is φ = 1059446052.

The previous prime is 1248138239. The next prime is 1248138247. The reversal of 1248138241 is 1428318421.

The square root of 1248138241 is 35329.

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

It is not a de Polignac number, because 1248138241 - 21 = 1248138239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1248138197 and 1248138206.

It is not an unprimeable number, because it can be changed into a prime (1248138247) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12117796 + ... + 12117898.

Almost surely, 21248138241 is an apocalyptic number.

1248138241 is the 35329-th square number.

1248138241 is the 17665-th centered octagonal number.

It is an amenable number.

1248138241 is a deficient number, since it is larger than the sum of its proper divisors (222296000).

1248138241 is an frugal number, since it uses more digits than its factorization.

1248138241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 110 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The cubic root of 1248138241 is about 1076.6822741920.

The spelling of 1248138241 in words is "one billion, two hundred forty-eight million, one hundred thirty-eight thousand, two hundred forty-one".

Divisors: 1 7 49 103 343 721 2401 5047 10609 16807 35329 74263 117649 247303 519841 1731121 3638887 12117847 25472209 178305463 1248138241