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44129449 = 72132732
BaseRepresentation
bin1010100001010…
…1110010101001
310002001000020001
42220111302221
542244120244
64213503001
71044044200
oct250256251
9102030201
1044129449
1122a01121
1212941a61
1391b1300
145c0a237
153d1a5d4
hex2a15ca9

44129449 has 27 divisors (see below), whose sum is σ = 56358693. Its totient is φ = 34437312.

The previous prime is 44129441. The next prime is 44129453. The reversal of 44129449 is 94492144.

The square root of 44129449 is 6643.

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

44129449 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 4439449 + 39690000 = 2107^2 + 6300^2 .

It is not a de Polignac number, because 44129449 - 23 = 44129441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44129441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 604477 + ... + 604549.

It is an arithmetic number, because the mean of its divisors is an integer number (2087359).

Almost surely, 244129449 is an apocalyptic number.

44129449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

44129449 is the 6643-rd square number.

44129449 is the 3322-nd centered octagonal number.

It is an amenable number.

44129449 is a deficient number, since it is larger than the sum of its proper divisors (12229244).

44129449 is an equidigital number, since it uses as much as digits as its factorization.

44129449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The cubic root of 44129449 is about 353.3807067330.

It can be divided in two parts, 4412 and 9449, that added together give a triangular number (13861 = T166).

The spelling of 44129449 in words is "forty-four million, one hundred twenty-nine thousand, four hundred forty-nine".

Divisors: 1 7 13 49 73 91 169 511 637 949 1183 3577 5329 6643 8281 12337 37303 46501 69277 86359 261121 484939 604513 900601 3394573 6304207 44129449