Search a number
-
+
5405337441 = 36723892
BaseRepresentation
bin1010000100010111…
…01110011101100001
3111221201002121000000
411002023232131201
542032231244231
62252211050213
7250643416200
oct50213563541
914851077000
105405337441
112324199029
12106a2a0969
13681b1b72a
14393c55237
152198216e6
hex1422ee761

5405337441 has 63 divisors (see below), whose sum is σ = 9451747011. Its totient is φ = 3080823984.

The previous prime is 5405337439. The next prime is 5405337461. The reversal of 5405337441 is 1447335045.

The square root of 5405337441 is 73521.

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

5405337441 is a `hidden beast` number, since 54 + 0 + 533 + 74 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1275989841 + 4129347600 = 35721^2 + 64260^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 5405337441 - 21 = 5405337439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5405337396 and 5405337405.

It is not an unprimeable number, because it can be changed into a prime (5405337461) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 13895275 + ... + 13895663.

Almost surely, 25405337441 is an apocalyptic number.

5405337441 is the 73521-st square number.

5405337441 is the 36761-st centered octagonal number.

It is an amenable number.

5405337441 is a deficient number, since it is larger than the sum of its proper divisors (4046409570).

5405337441 is an frugal number, since it uses more digits than its factorization.

5405337441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The cubic root of 5405337441 is about 1754.9884811867.

Multiplying 5405337441 by its sum of digits (36), we get a square (194592147876 = 4411262).

The spelling of 5405337441 in words is "five billion, four hundred five million, three hundred thirty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 389 441 567 729 1167 1323 1701 2723 3501 3969 5103 8169 10503 11907 19061 24507 31509 35721 57183 73521 94527 151321 171549 220563 283581 453963 514647 661689 1059247 1361889 1543941 1985067 3177741 4085667 4631823 7414729 9533223 12257001 13895469 22244187 28599669 36771003 66732561 85799007 110313009 200197683 257397021 600593049 772191063 1801779147 5405337441