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79338096 = 2433434271
BaseRepresentation
bin1001011101010…
…01101001110000
312112021210102000
410232221221300
5130302304341
611512254000
71652235255
oct456515160
9175253360
1079338096
1140869982
12226a1300
131358b026
14a77342c
156e728b6
hex4ba9a70

79338096 has 80 divisors (see below), whose sum is σ = 233080320. Its totient is φ = 25824960.

The previous prime is 79338073. The next prime is 79338107. The reversal of 79338096 is 69083397.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16441 + ... + 20711.

It is an arithmetic number, because the mean of its divisors is an integer number (2913504).

Almost surely, 279338096 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 79338096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116540160).

79338096 is an abundant number, since it is smaller than the sum of its proper divisors (153742224).

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

79338096 is a wasteful number, since it uses less digits than its factorization.

79338096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 79338096 is about 8907.1934973930. The cubic root of 79338096 is about 429.6952879981.

The spelling of 79338096 in words is "seventy-nine million, three hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4271 4644 6192 8542 9288 12813 17084 18576 25626 34168 38439 51252 68336 76878 102504 115317 153756 183653 205008 230634 307512 367306 461268 550959 615024 734612 922536 1101918 1469224 1652877 1845072 2203836 2938448 3305754 4407672 4958631 6611508 8815344 9917262 13223016 19834524 26446032 39669048 79338096