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63091249 = 134472
BaseRepresentation
bin1111000010101…
…1001000110001
311101201100220221
43300223020301
5112122404444
610132133041
71364160334
oct360531061
9141640827
1063091249
1132682431
1219167181
13100c0000
14854461b
155813a84
hex3c2b231

63091249 has 15 divisors (see below), whose sum is σ = 69833837. Its totient is φ = 56998968.

The previous prime is 63091243. The next prime is 63091261. The reversal of 63091249 is 94219036.

The square root of 63091249 is 7943.

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

It can be written as a sum of positive squares in 2 ways, for example, as 31281649 + 31809600 = 5593^2 + 5640^2 .

It is not a de Polignac number, because 63091249 - 213 = 63083057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63091243) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1342344 + ... + 1342390.

Almost surely, 263091249 is an apocalyptic number.

63091249 is the 7943-rd square number.

63091249 is the 3972-nd centered octagonal number.

It is an amenable number.

63091249 is a deficient number, since it is larger than the sum of its proper divisors (6742588).

63091249 is an frugal number, since it uses more digits than its factorization.

63091249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 63091249 is about 398.0977365754.

Multiplying 63091249 by its product of nonzero digits (11664), we get a square (735896328336 = 8578442).

The spelling of 63091249 in words is "sixty-three million, ninety-one thousand, two hundred forty-nine".

Divisors: 1 13 47 169 611 2197 2209 7943 28561 28717 103259 373321 1342367 4853173 63091249