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839142216 = 2332115319991
BaseRepresentation
bin110010000001000…
…100101101001000
32011110222211201100
4302001010231020
53204310022331
6215133421400
726536406523
oct6201045510
92143884640
10839142216
113a0745a70
121b503a860
13104b09173
147d637bba
154da09ae6
hex32044b48

839142216 has 96 divisors (see below), whose sum is σ = 2526189120. Its totient is φ = 249475200.

The previous prime is 839142179. The next prime is 839142229. The reversal of 839142216 is 612241938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31981 + ... + 51971.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2839142216 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 839142216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263094560).

839142216 is an abundant number, since it is smaller than the sum of its proper divisors (1687046904).

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

839142216 is a wasteful number, since it uses less digits than its factorization.

839142216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20067 (or 20060 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 839142216 is about 28967.9515326852. The cubic root of 839142216 is about 943.2175150574.

The spelling of 839142216 in words is "eight hundred thirty-nine million, one hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 19991 20988 39982 41976 59973 79964 119946 159928 179919 219901 239892 359838 439802 479784 659703 719676 879604 1059523 1319406 1439352 1759208 1979109 2119046 2638812 3178569 3958218 4238092 5277624 6357138 7916436 8476184 9535707 11654753 12714276 15832872 19071414 23309506 25428552 34964259 38142828 46619012 69928518 76285656 93238024 104892777 139857036 209785554 279714072 419571108 839142216