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96398946 = 23271097019
BaseRepresentation
bin1011011111011…
…10111001100010
320201101120111100
411233232321202
5144134231241
613322055230
72250243330
oct557567142
9221346440
1096398946
114a461a56
122834a516
1316c826c7
14cb34b50
1586e29b6
hex5beee62

96398946 has 48 divisors (see below), whose sum is σ = 240926400. Its totient is φ = 27285984.

The previous prime is 96398941. The next prime is 96398947. The reversal of 96398946 is 64989369.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96398892 and 96398901.

It is not an unprimeable number, because it can be changed into a prime (96398941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10225 + ... + 17243.

It is an arithmetic number, because the mean of its divisors is an integer number (5019300).

Almost surely, 296398946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96398946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120463200).

96398946 is an abundant number, since it is smaller than the sum of its proper divisors (144527454).

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

96398946 is a wasteful number, since it uses less digits than its factorization.

96398946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7140 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 96398946 is about 9818.2964917546. The cubic root of 96398946 is about 458.5190970482.

It can be divided in two parts, 96398 and 946, that added together give a square (97344 = 3122).

The spelling of 96398946 in words is "ninety-six million, three hundred ninety-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 7019 13734 14038 21057 42114 49133 63171 98266 126342 147399 294798 442197 765071 884394 1530142 2295213 4590426 5355497 6885639 10710994 13771278 16066491 32132982 48199473 96398946