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196047824 = 2473139257
BaseRepresentation
bin10111010111101…
…11001111010000
3111122220021001112
423223313033100
5400142012244
631241552452
74600244000
oct1353671720
9448807045
10196047824
11a07336a5
12557a5728
133180243b
141c074000
151232839e
hexbaf73d0

196047824 has 80 divisors (see below), whose sum is σ = 447888000. Its totient is φ = 83091456.

The previous prime is 196047809. The next prime is 196047853. The reversal of 196047824 is 428740691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762704 + ... + 762960.

It is an arithmetic number, because the mean of its divisors is an integer number (5598600).

Almost surely, 2196047824 is an apocalyptic number.

196047824 is a gapful number since it is divisible by the number (14) 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 196047824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223944000).

196047824 is an abundant number, since it is smaller than the sum of its proper divisors (251840176).

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

196047824 is a wasteful number, since it uses less digits than its factorization.

196047824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 196047824 is about 14001.7078958247. The cubic root of 196047824 is about 580.9258143049.

The spelling of 196047824 in words is "one hundred ninety-six million, forty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 139 196 257 278 343 392 514 556 686 784 973 1028 1112 1372 1799 1946 2056 2224 2744 3598 3892 4112 5488 6811 7196 7784 12593 13622 14392 15568 25186 27244 28784 35723 47677 50372 54488 71446 88151 95354 100744 108976 142892 176302 190708 201488 250061 285784 352604 381416 500122 571568 705208 762832 1000244 1410416 1750427 2000488 3500854 4000976 7001708 12252989 14003416 24505978 28006832 49011956 98023912 196047824