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63441225 = 3652592
BaseRepresentation
bin1111001000000…
…0100101001001
311102101011000000
43302000211021
5112220104400
610143433213
71400145561
oct362004511
9142334000
1063441225
11328a1371
12192b5809
13101b33b3
1485d5da1
155882600
hex3c80949

63441225 has 63 divisors (see below), whose sum is σ = 119979703. Its totient is φ = 33261840.

The previous prime is 63441181. The next prime is 63441233. The reversal of 63441225 is 52214436.

The square root of 63441225 is 7965.

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

63441225 is a `hidden beast` number, since 634 + 4 + 1 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22838841 + 40602384 = 4779^2 + 6372^2 .

It is not a de Polignac number, because 63441225 - 223 = 55052617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1075246 + ... + 1075304.

Almost surely, 263441225 is an apocalyptic number.

63441225 is the 7965-th square number.

63441225 is the 3983-rd centered octagonal number.

It is an amenable number.

63441225 is a deficient number, since it is larger than the sum of its proper divisors (56538478).

63441225 is an frugal number, since it uses more digits than its factorization.

63441225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 67 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The cubic root of 63441225 is about 398.8324809805.

It can be divided in two parts, 6344 and 1225, that added together give a square (7569 = 872).

The spelling of 63441225 in words is "sixty-three million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 59 75 81 135 177 225 243 295 405 531 675 729 885 1215 1475 1593 2025 2655 3481 3645 4425 4779 6075 7965 10443 13275 14337 17405 18225 23895 31329 39825 43011 52215 71685 87025 93987 119475 156645 215055 261075 281961 358425 469935 783225 845883 1075275 1409805 2349675 2537649 4229415 7049025 12688245 21147075 63441225