Search a number
-
+
3136784049 = 34741272
BaseRepresentation
bin1011101011110111…
…1000011010110001
322002121102010210000
42322331320122301
522411004042144
61235132100213
7140506140000
oct27275703261
98077363700
103136784049
11136a6a6313
12736604669
133acb36b49
1421a850c37
151355b2769
hexbaf786b1

3136784049 has 75 divisors (see below), whose sum is σ = 5509838697. Its totient is φ = 1778334264.

The previous prime is 3136784017. The next prime is 3136784051. The reversal of 3136784049 is 9404876313.

The square root of 3136784049 is 56007.

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

It is not a de Polignac number, because 3136784049 - 25 = 3136784017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3136783995 and 3136784013.

It is not an unprimeable number, because it can be changed into a prime (3136784069) 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 74 ways as a sum of consecutive naturals, for example, 24699024 + ... + 24699150.

Almost surely, 23136784049 is an apocalyptic number.

3136784049 is the 56007-th square number.

3136784049 is the 28004-th centered octagonal number.

It is an amenable number.

3136784049 is a deficient number, since it is larger than the sum of its proper divisors (2373054648).

3136784049 is an frugal number, since it uses more digits than its factorization.

3136784049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3136784049 is about 1463.8442583251.

The spelling of 3136784049 in words is "three billion, one hundred thirty-six million, seven hundred eighty-four thousand, forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 127 147 189 343 381 441 567 889 1029 1143 1323 2401 2667 3087 3429 3969 6223 7203 8001 9261 10287 16129 18669 21609 24003 27783 43561 48387 56007 64827 72009 112903 130683 145161 168021 194481 304927 338709 392049 435483 504063 790321 914781 1016127 1176147 1306449 2370963 2744343 3048381 3528441 5532247 7112889 8233029 9145143 16596741 21338667 24699087 38725729 49790223 64016001 116177187 149370669 348531561 448112007 1045594683 3136784049