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389944009 = 74132312
BaseRepresentation
bin10111001111100…
…001001011001001
31000011202012121201
4113033201023021
51244311202014
6102405504201
712443320000
oct2717411311
91004665551
10389944009
11190127784
12aa712061
1362a30400
1439b07c37
1524378e74
hex173e12c9

389944009 has 45 divisors (see below), whose sum is σ = 508994919. Its totient is φ = 298574640.

The previous prime is 389943997. The next prime is 389944019. The reversal of 389944009 is 900449983.

The square root of 389944009 is 19747.

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

389944009 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 57684025 + 332259984 = 7595^2 + 18228^2 .

It is not a de Polignac number, because 389944009 - 215 = 389911241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 389944009.

It is not an unprimeable number, because it can be changed into a prime (389944019) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12578824 + ... + 12578854.

Almost surely, 2389944009 is an apocalyptic number.

389944009 is the 19747-th square number.

389944009 is the 9874-th centered octagonal number.

It is an amenable number.

389944009 is a deficient number, since it is larger than the sum of its proper divisors (119050910).

389944009 is an frugal number, since it uses more digits than its factorization.

389944009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The cubic root of 389944009 is about 730.5793917770.

The spelling of 389944009 in words is "three hundred eighty-nine million, nine hundred forty-four thousand, nine".

Divisors: 1 7 13 31 49 91 169 217 343 403 637 961 1183 1519 2401 2821 4459 5239 6727 8281 10633 12493 19747 31213 36673 47089 57967 74431 87451 138229 162409 256711 329623 405769 612157 967603 1136863 1796977 2307361 4285099 7958041 12578839 29995693 55706287 389944009