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196717248 = 2635713139
BaseRepresentation
bin10111011100110…
…10101011000000
3111201011021100000
423232122223000
5400324422443
631304200000
74606032450
oct1356325300
9451137300
10196717248
11a1050642
1255a69000
13319a8050
141c1a9d60
151240b8d3
hexbb9aac0

196717248 has 336 divisors, whose sum is σ = 724855040. Its totient is φ = 51508224.

The previous prime is 196717247. The next prime is 196717259. The reversal of 196717248 is 842717691.

It is a happy number.

196717248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (196717247) 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, 1415163 + ... + 1415301.

Almost surely, 2196717248 is an apocalyptic number.

196717248 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 196717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362427520).

196717248 is an abundant number, since it is smaller than the sum of its proper divisors (528137792).

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

196717248 is a wasteful number, since it uses less digits than its factorization.

196717248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 196717248 is about 14025.5926078009. The cubic root of 196717248 is about 581.5862720155.

The spelling of 196717248 in words is "one hundred ninety-six million, seven hundred seventeen thousand, two hundred forty-eight".