Search a number
-
+
1348725625 = 541321132
BaseRepresentation
bin101000001100011…
…1110101101111001
310110222212100201221
41100120332231321
510230233210000
6341455512041
745264656452
oct12030765571
93428770657
101348725625
11632358585
12317828621
13186568300
14cb1a6129
157d61761a
hex5063eb79

1348725625 has 45 divisors (see below), whose sum is σ = 1841277009. Its totient is φ = 987168000.

The previous prime is 1348725577. The next prime is 1348725661. The reversal of 1348725625 is 5265278431.

The square root of 1348725625 is 36725.

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

It can be written as a sum of positive squares in 22 ways, for example, as 78801129 + 1269924496 = 8877^2 + 35636^2 .

It is not a de Polignac number, because 1348725625 - 223 = 1340337017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11935569 + ... + 11935681.

Almost surely, 21348725625 is an apocalyptic number.

1348725625 is the 36725-th square number.

1348725625 is the 18363-rd centered octagonal number.

It is an amenable number.

1348725625 is a deficient number, since it is larger than the sum of its proper divisors (492551384).

1348725625 is an frugal number, since it uses more digits than its factorization.

1348725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 131 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The cubic root of 1348725625 is about 1104.8615743554.

The spelling of 1348725625 in words is "one billion, three hundred forty-eight million, seven hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 113 125 169 325 565 625 845 1469 1625 2825 4225 7345 8125 12769 14125 19097 21125 36725 63845 70625 95485 105625 165997 183625 319225 477425 829985 918125 1596125 2157961 2387125 4149925 7980625 10789805 11935625 20749625 53949025 103748125 269745125 1348725625