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96295820 = 22517614643
BaseRepresentation
bin1011011110101…
…01101110001100
320201012100000212
411233111232030
5144122431240
613315541552
72246333555
oct557255614
9221170025
1096295820
114a3a1525
12282ba8b8
1316c4779a
14cb0932c
1586c2165
hex5bd5b8c

96295820 has 48 divisors (see below), whose sum is σ = 217673568. Its totient is φ = 35650560.

The previous prime is 96295789. The next prime is 96295883. The reversal of 96295820 is 2859269.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18419 + ... + 23061.

It is an arithmetic number, because the mean of its divisors is an integer number (4534866).

Almost surely, 296295820 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 96295820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108836784).

96295820 is an abundant number, since it is smaller than the sum of its proper divisors (121377748).

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

96295820 is a wasteful number, since it uses less digits than its factorization.

96295820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 96295820 is about 9813.0433607521. The cubic root of 96295820 is about 458.3555333232.

The spelling of 96295820 in words is "ninety-six million, two hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 4643 5185 9286 10370 18572 20740 23215 46430 78931 92860 157862 283223 315724 394655 566446 789310 1132892 1416115 1578620 2832230 4814791 5664460 9629582 19259164 24073955 48147910 96295820