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3924145449 = 32721921572
BaseRepresentation
bin1110100111100101…
…1011010100101001
3101010110222020120100
43221321123110221
531014040123244
61445220020013
7166146454200
oct35171332451
911113866510
103924145449
111734094614
12916231609
134a6cb3173
1429324a237
1517e78eb69
hexe9e5b529

3924145449 has 81 divisors (see below), whose sum is σ = 7003537047. Its totient is φ = 2110818528.

The previous prime is 3924145417. The next prime is 3924145453. The reversal of 3924145449 is 9445414293.

The square root of 3924145449 is 62643.

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

3924145449 is a `hidden beast` number, since 3 + 92 + 4 + 14 + 544 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1150227225 + 2773918224 = 33915^2 + 52668^2 .

It is not a de Polignac number, because 3924145449 - 25 = 3924145417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3924144449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24994479 + ... + 24994635.

Almost surely, 23924145449 is an apocalyptic number.

3924145449 is the 62643-rd square number.

3924145449 is the 31322-nd centered octagonal number.

It is an amenable number.

3924145449 is a deficient number, since it is larger than the sum of its proper divisors (3079391598).

3924145449 is a wasteful number, since it uses less digits than its factorization.

3924145449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 3924145449 is about 1577.3026467095.

The spelling of 3924145449 in words is "three billion, nine hundred twenty-four million, one hundred forty-five thousand, four hundred forty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 157 171 361 399 441 471 931 1083 1099 1197 1413 2527 2793 2983 3249 3297 7581 7693 8379 8949 9891 17689 20881 22743 23079 24649 26847 53067 56677 62643 69237 73947 146167 159201 170031 172543 187929 221841 396739 438501 468331 510093 517629 1190217 1207801 1315503 1404993 1552887 2777173 3278317 3570651 3623403 4214979 8331519 8898289 9834951 10870209 22948219 24994557 26694867 29504853 62288023 68844657 80084601 186864069 206533971 436016161 560592207 1308048483 3924145449