Search a number
-
+
196288848 = 243271937277
BaseRepresentation
bin10111011001100…
…10000101010000
3111200100111200100
423230302011100
5400222220343
631251052400
74602266460
oct1354620520
9450314610
10196288848
11a0888798
12558a1100
1331888062
141c0d7ba0
15123749d3
hexbb32150

196288848 has 240 divisors, whose sum is σ = 681166720. Its totient is φ = 51508224.

The previous prime is 196288843. The next prime is 196288871. The reversal of 196288848 is 848882691.

196288848 is a `hidden beast` number, since 1 + 9 + 628 + 8 + 8 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 196288794 and 196288803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196288843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708486 + ... + 708762.

Almost surely, 2196288848 is an apocalyptic number.

196288848 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 196288848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340583360).

196288848 is an abundant number, since it is smaller than the sum of its proper divisors (484877872).

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

196288848 is a wasteful number, since it uses less digits than its factorization.

196288848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 196288848 is about 14010.3122020889. The cubic root of 196288848 is about 581.1637829803.

It can be divided in two parts, 196288 and 848, that added together give a square (197136 = 4442).

The spelling of 196288848 in words is "one hundred ninety-six million, two hundred eighty-eight thousand, eight hundred forty-eight".