Search a number
-
+
1988892409 = 722322772
BaseRepresentation
bin111011010001100…
…0001011011111001
312010121110012110211
41312203001123321
513033124024114
6525204511121
7100200210100
oct16643013371
95117405424
101988892409
11930750339
124760ab4a1
1325908861a
1414c207037
15b991b6c4
hex768c16f9

1988892409 has 27 divisors (see below), whose sum is σ = 2427337647. Its totient is φ = 1624757904.

The previous prime is 1988892403. The next prime is 1988892421. The reversal of 1988892409 is 9042988891.

The square root of 1988892409 is 44597.

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., 342805225 + 1646087184 = 18515^2 + 40572^2 .

It is not a de Polignac number, because 1988892409 - 25 = 1988892377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1988892403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7179979 + ... + 7180255.

Almost surely, 21988892409 is an apocalyptic number.

1988892409 is the 44597-th square number.

1988892409 is the 22299-th centered octagonal number.

It is an amenable number.

1988892409 is a deficient number, since it is larger than the sum of its proper divisors (438445238).

1988892409 is an frugal number, since it uses more digits than its factorization.

1988892409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 58.

The cubic root of 1988892409 is about 1257.5842705904.

The spelling of 1988892409 in words is "one billion, nine hundred eighty-eight million, eight hundred ninety-two thousand, four hundred nine".

Divisors: 1 7 23 49 161 277 529 1127 1939 3703 6371 13573 25921 44597 76729 146533 312179 537103 1025731 1764767 3759721 7180117 12353369 40589641 86473583 284127487 1988892409