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195734848 = 2661181277
BaseRepresentation
bin10111010101010…
…10110101000000
3111122022100201211
423222222311000
5400102003343
631231135504
74564501351
oct1352526500
9448270654
10195734848
11a053a541
1255674594
1331722b4a
141bdd1d28
15122b579d
hexbaaad40

195734848 has 56 divisors (see below), whose sum is σ = 398392904. Its totient is φ = 95385600.

The previous prime is 195734843. The next prime is 195734881. The reversal of 195734848 is 848437591.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 162001984 = 5808^2 + 12728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195734843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 706486 + ... + 706762.

It is an arithmetic number, because the mean of its divisors is an integer number (7114159).

Almost surely, 2195734848 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 195734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199196452).

195734848 is an abundant number, since it is smaller than the sum of its proper divisors (202658056).

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

195734848 is a wasteful number, since it uses less digits than its factorization.

195734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 195734848 is about 13990.5270808501. The cubic root of 195734848 is about 580.6165144757.

The spelling of 195734848 in words is "one hundred ninety-five million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 181 244 277 362 488 554 724 976 1108 1448 1952 2216 2896 3904 4432 5792 8864 11041 11584 16897 17728 22082 33794 44164 50137 67588 88328 100274 135176 176656 200548 270352 353312 401096 540704 706624 802192 1081408 1604384 3058357 3208768 6116714 12233428 24466856 48933712 97867424 195734848