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3992849721 = 3472172592
BaseRepresentation
bin1110110111111110…
…0000110100111001
3101022021020210010000
43231333200310321
531134132142341
61500112343213
7200642443200
oct35577406471
911267223100
103992849721
111769950103
12935244b09
134b82b9c93
1429c412237
151858118b6
hexedfe0d39

3992849721 has 135 divisors (see below), whose sum is σ = 7497639039. Its totient is φ = 2111018112.

The previous prime is 3992849719. The next prime is 3992849761. The reversal of 3992849721 is 1279482993.

The square root of 3992849721 is 63189.

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

It can be written as a sum of positive squares in only one way, i.e., 3108620025 + 884229696 = 55755^2 + 29736^2 .

It is not a de Polignac number, because 3992849721 - 21 = 3992849719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3992849761) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 67675390 + ... + 67675448.

Almost surely, 23992849721 is an apocalyptic number.

3992849721 is the 63189-th square number.

3992849721 is the 31595-th centered octagonal number.

It is an amenable number.

3992849721 is a deficient number, since it is larger than the sum of its proper divisors (3504789318).

3992849721 is an equidigital number, since it uses as much as digits as its factorization.

3992849721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 86 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The cubic root of 3992849721 is about 1586.4546244417.

The spelling of 3992849721 in words is "three billion, nine hundred ninety-two million, eight hundred forty-nine thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 49 51 59 63 81 119 147 153 177 189 289 357 413 441 459 531 567 833 867 1003 1071 1239 1323 1377 1593 2023 2499 2601 2891 3009 3213 3481 3717 3969 4779 6069 7021 7497 7803 8673 9027 9639 10443 11151 14161 17051 18207 21063 22491 23409 24367 26019 27081 31329 33453 42483 49147 51153 54621 59177 63189 67473 73101 78057 81243 93987 119357 127449 147441 153459 163863 170569 177531 189567 219303 234171 281961 358071 382347 414239 442323 460377 511707 532593 568701 657909 835499 1006009 1074213 1147041 1242717 1326969 1381131 1535121 1597779 1973727 2506497 2899673 3018027 3222639 3728151 3980907 4605363 4793337 7042063 7519491 8699019 9054081 9667917 11184453 13816089 21126189 22558473 26097057 27162243 33553359 49294441 63378567 67675419 78291171 81486729 147883323 190135701 234873513 443649969 570407103 1330949907 3992849721