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9079242948 = 22321946328669
BaseRepresentation
bin10000111010010101…
…00100000011000100
3212102202012022220100
420131022210003010
5122043241233243
64100531404100
7440664202026
oct103512440304
925382168810
109079242948
113939aa5676
121914753630
13b19006c09
14621b62016
153821310d3
hex21d2a40c4

9079242948 has 72 divisors (see below), whose sum is σ = 24211241600. Its totient is φ = 2860837056.

The previous prime is 9079242941. The next prime is 9079242959. The reversal of 9079242948 is 8492429709.

9079242948 is a `hidden beast` number, since 90 + 7 + 92 + 429 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9079242894 and 9079242903.

It is not an unprimeable number, because it can be changed into a prime (9079242941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302358 + ... + 331026.

Almost surely, 29079242948 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 9079242948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105620800).

9079242948 is an abundant number, since it is smaller than the sum of its proper divisors (15131998652).

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

9079242948 is a wasteful number, since it uses less digits than its factorization.

9079242948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29161 (or 29156 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9079242948 is about 95285.0615154338. The cubic root of 9079242948 is about 2086.1708807365.

The spelling of 9079242948 in words is "nine billion, seventy-nine million, two hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 463 684 926 1389 1852 2778 4167 5556 8334 8797 16668 17594 26391 28669 35188 52782 57338 79173 86007 105564 114676 158346 172014 258021 316692 344028 516042 544711 1032084 1089422 1634133 2178844 3268266 4902399 6536532 9804798 13273747 19609596 26547494 39821241 53094988 79642482 119463723 159284964 238927446 252201193 477854892 504402386 756603579 1008804772 1513207158 2269810737 3026414316 4539621474 9079242948