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195810048 = 283471971
BaseRepresentation
bin10111010101111…
…01001100000000
3111122110011220000
423222331030000
5400111410143
631232520000
74565233530
oct1352751400
9448404800
10195810048
11a0590a95
12556b0000
133174b145
141c0114c0
15122ccbd3
hexbabd300

195810048 has 360 divisors, whose sum is σ = 712293120. Its totient is φ = 52254720.

The previous prime is 195810019. The next prime is 195810049. The reversal of 195810048 is 840018591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 195809994 and 195810021.

It is not an unprimeable number, because it can be changed into a prime (195810049) 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 39 ways as a sum of consecutive naturals, for example, 2757853 + ... + 2757923.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 2195810048 is an apocalyptic number.

195810048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356146560).

195810048 is an abundant number, since it is smaller than the sum of its proper divisors (516483072).

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

195810048 is an equidigital number, since it uses as much as digits as its factorization.

195810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 195810048 is about 13993.2143555368. The cubic root of 195810048 is about 580.6908612633.

The spelling of 195810048 in words is "one hundred ninety-five million, eight hundred ten thousand, forty-eight".