Search a number
-
+
4874692761 = 32172374
BaseRepresentation
bin1001000101000110…
…11110100010011001
3110120201121001100100
410202203132202121
534440410132021
62123413330013
7231541130151
oct44243364231
913521531310
104874692761
112081700904
12b40636909
135c8bc70b3
143435a3761
151d7e53626
hex1228de899

4874692761 has 45 divisors (see below), whose sum is σ = 7687548011. Its totient is φ = 2975965056.

The previous prime is 4874692733. The next prime is 4874692769. The reversal of 4874692761 is 1672964784.

The square root of 4874692761 is 69819.

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

4874692761 is a `hidden beast` number, since 487 + 4 + 6 + 92 + 76 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 811395225 + 4063297536 = 28485^2 + 63744^2 .

It is not a de Polignac number, because 4874692761 - 25 = 4874692729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4874692698 and 4874692707.

It is not an unprimeable number, because it can be changed into a prime (4874692769) 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, 131748435 + ... + 131748471.

Almost surely, 24874692761 is an apocalyptic number.

4874692761 is the 69819-th square number.

4874692761 is the 34910-th centered octagonal number.

It is an amenable number.

4874692761 is a deficient number, since it is larger than the sum of its proper divisors (2812855250).

4874692761 is an frugal number, since it uses more digits than its factorization.

4874692761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 57 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The cubic root of 4874692761 is about 1695.5700998216.

The spelling of 4874692761 in words is "four billion, eight hundred seventy-four million, six hundred ninety-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 17 37 51 111 153 289 333 629 867 1369 1887 2601 4107 5661 10693 12321 23273 32079 50653 69819 96237 151959 209457 395641 455877 861101 1186923 1874161 2583303 3560769 5622483 7749909 14638717 16867449 31860737 43916151 95582211 131748453 286746633 541632529 1624897587 4874692761