Search a number
-
+
4479917409 = 3311611072311
BaseRepresentation
bin1000010110000011…
…00001110101100001
3102120012202101101000
410023001201311201
533133324324114
62020312102213
7216005445462
oct41301416541
912505671330
104479917409
111999884290
12a50394969
13565194906
14306d9cd69
151b3472e09
hex10b061d61

4479917409 has 64 divisors (see below), whose sum is σ = 7430952960. Its totient is φ = 2644488000.

The previous prime is 4479917389. The next prime is 4479917411. The reversal of 4479917409 is 9047199744.

It is not a de Polignac number, because 4479917409 - 212 = 4479913313 is a prime.

It is a super-2 number, since 2×44799174092 = 40139319982922546562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4479917479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1937364 + ... + 1939674.

It is an arithmetic number, because the mean of its divisors is an integer number (116108640).

Almost surely, 24479917409 is an apocalyptic number.

It is an amenable number.

4479917409 is a deficient number, since it is larger than the sum of its proper divisors (2951035551).

4479917409 is a wasteful number, since it uses less digits than its factorization.

4479917409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4479917409 is about 66932.1851503445. The cubic root of 4479917409 is about 1648.5039894721.

The spelling of 4479917409 in words is "four billion, four hundred seventy-nine million, nine hundred seventeen thousand, four hundred nine".

Divisors: 1 3 9 11 27 33 61 99 107 183 297 321 549 671 963 1177 1647 2013 2311 2889 3531 6039 6527 6933 10593 18117 19581 20799 25421 31779 58743 62397 71797 76263 140971 176229 215391 228789 247277 422913 646173 686367 741831 1268739 1550681 1938519 2225493 2720047 3806217 4652043 6676479 8160141 13956129 15083897 24480423 41868387 45251691 73441269 135755073 165922867 407265219 497768601 1493305803 4479917409