Search a number
-
+
1438609041 = 324722692
BaseRepresentation
bin101010110111111…
…0110111010010001
310201020222220121100
41111233312322101
510421240442131
6354430215013
750435655312
oct12557667221
93636886540
101438609041
1167906a2a1
12341954469
1319c07916c
14d90c2609
158646e7e6
hex55bf6e91

1438609041 has 27 divisors (see below), whose sum is σ = 2131066171. Its totient is φ = 935177424.

The previous prime is 1438609031. The next prime is 1438609063. The reversal of 1438609041 is 1409068341.

The square root of 1438609041 is 37929.

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

1438609041 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 609 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94653441 + 1343955600 = 9729^2 + 36660^2 .

It is not a de Polignac number, because 1438609041 - 29 = 1438608529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1438608987 and 1438609005.

It is not an unprimeable number, because it can be changed into a prime (1438609001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5347855 + ... + 5348123.

Almost surely, 21438609041 is an apocalyptic number.

1438609041 is the 37929-th square number.

1438609041 is the 18965-th centered octagonal number.

It is an amenable number.

1438609041 is a deficient number, since it is larger than the sum of its proper divisors (692457130).

1438609041 is an frugal number, since it uses more digits than its factorization.

1438609041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 1438609041 is about 1128.8795223753.

Multiplying 1438609041 by its sum of digits (36), we get a square (51789925476 = 2275742).

Multiplying 1438609041 by its product of nonzero digits (20736), we get a square (29830997074176 = 54617762).

The spelling of 1438609041 in words is "one billion, four hundred thirty-eight million, six hundred nine thousand, forty-one".

Divisors: 1 3 9 47 141 269 423 807 2209 2421 6627 12643 19881 37929 72361 113787 217083 594221 651249 1782663 3400967 5347989 10202901 30608703 159845449 479536347 1438609041