Search a number
-
+
9042239208 = 23317291136763
BaseRepresentation
bin10000110101111010…
…11001111011101000
3212100011120100022110
420122331121323220
5122004303123313
64053130322320
7440034523302
oct103275317350
925304510273
109042239208
113920121172
1219042893a0
13b1144c102
1461ac8c972
1537dc71ec3
hex21af59ee8

9042239208 has 128 divisors (see below), whose sum is σ = 24983510400. Its totient is φ = 2714320896.

The previous prime is 9042239201. The next prime is 9042239249. The reversal of 9042239208 is 8029322409.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9042239201) 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 31 ways as a sum of consecutive naturals, for example, 1333635 + ... + 1340397.

It is an arithmetic number, because the mean of its divisors is an integer number (195183675).

Almost surely, 29042239208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042239208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491755200).

9042239208 is an abundant number, since it is smaller than the sum of its proper divisors (15941271192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9042239208 is a wasteful number, since it uses less digits than its factorization.

9042239208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 9042239208 is about 95090.6893865009. The cubic root of 9042239208 is about 2083.3328600632.

The spelling of 9042239208 in words is "nine billion, forty-two million, two hundred thirty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 113 116 136 174 204 226 232 339 348 408 452 493 678 696 904 986 1356 1479 1921 1972 2712 2958 3277 3842 3944 5763 5916 6554 6763 7684 9831 11526 11832 13108 13526 15368 19662 20289 23052 26216 27052 39324 40578 46104 54104 55709 78648 81156 111418 114971 162312 167127 196127 222836 229942 334254 344913 392254 445672 459884 588381 668508 689826 764219 784508 919768 1176762 1337016 1379652 1528438 1569016 2292657 2353524 2759304 3056876 3334159 4585314 4707048 6113752 6668318 9170628 10002477 12991723 13336636 18341256 20004954 22162351 25983446 26673272 38975169 40009908 44324702 51966892 66487053 77950338 80019816 88649404 103933784 132974106 155900676 177298808 265948212 311801352 376759967 531896424 753519934 1130279901 1507039868 2260559802 3014079736 4521119604 9042239208