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668584449 = 34134172
BaseRepresentation
bin100111110110011…
…100101000000001
31201121001121110000
4213312130220001
52332124200244
6150202030213
722365605541
oct4766345001
91647047400
10668584449
11313442435
12167aa8369
13a8690000
1464b1b321
153da69169
hex27d9ca01

668584449 has 75 divisors (see below), whose sum is σ = 1149365327. Its totient is φ = 387234432.

The previous prime is 668584429. The next prime is 668584463. The reversal of 668584449 is 944485866.

The square root of 668584449 is 25857.

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

It can be written as a sum of positive squares in 7 ways, for example, as 610337025 + 58247424 = 24705^2 + 7632^2 .

It is not a de Polignac number, because 668584449 - 27 = 668584321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 668584395 and 668584404.

It is not an unprimeable number, because it can be changed into a prime (668584429) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 39328489 + ... + 39328505.

Almost surely, 2668584449 is an apocalyptic number.

668584449 is the 25857-th square number.

668584449 is the 12929-th centered octagonal number.

It is an amenable number.

668584449 is a deficient number, since it is larger than the sum of its proper divisors (480780878).

668584449 is an frugal number, since it uses more digits than its factorization.

668584449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The cubic root of 668584449 is about 874.4173313755.

The spelling of 668584449 in words is "six hundred sixty-eight million, five hundred eighty-four thousand, four hundred forty-nine".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 169 221 289 351 459 507 663 867 1053 1377 1521 1989 2197 2601 2873 3757 4563 5967 6591 7803 8619 11271 13689 17901 19773 23409 25857 28561 33813 37349 48841 59319 77571 85683 101439 112047 146523 177957 232713 257049 304317 336141 439569 485537 634933 771147 1008423 1318707 1456611 1904799 2313441 3025269 3956121 4369833 5714397 8254129 13109499 17143191 24762387 39328497 51429573 74287161 222861483 668584449