Search a number
-
+
6002973249 = 371371337919
BaseRepresentation
bin1011001011100111…
…00001101001000001
3120111100122122012120
411211303201221001
544243230120444
62431400314453
7301521300510
oct54563415101
916440578176
106002973249
112600581719
1211b6472a29
1374889a1a0
1440d384677
15252023b19
hex165ce1a41

6002973249 has 64 divisors (see below), whose sum is σ = 10030325760. Its totient is φ = 3109155840.

The previous prime is 6002973227. The next prime is 6002973271. The reversal of 6002973249 is 9423792006.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6002973227) and next prime (6002973271).

It is not a de Polignac number, because 6002973249 - 27 = 6002973121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6002973249.

It is not an unprimeable number, because it can be changed into a prime (6002973049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6531612 + ... + 6532530.

It is an arithmetic number, because the mean of its divisors is an integer number (156723840).

Almost surely, 26002973249 is an apocalyptic number.

It is an amenable number.

6002973249 is a deficient number, since it is larger than the sum of its proper divisors (4027352511).

6002973249 is a wasteful number, since it uses less digits than its factorization.

6002973249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 6002973249 is about 77478.8567868680. The cubic root of 6002973249 is about 1817.4206961545.

The spelling of 6002973249 in words is "six billion, two million, nine hundred seventy-three thousand, two hundred forty-nine".

Divisors: 1 3 7 13 21 39 71 91 213 273 337 497 919 923 1011 1491 2359 2757 2769 4381 6433 6461 7077 11947 13143 19299 19383 23927 30667 35841 65249 71781 83629 92001 167489 195747 250887 309703 311051 456743 502467 848237 929109 933153 1370229 2167921 2177357 2544711 4026139 5937659 6503763 6532071 12078417 17812977 21988913 28182973 65966739 84548919 153922391 285855869 461767173 857567607 2000991083 6002973249