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196732848 = 24313378521
BaseRepresentation
bin10111011100111…
…10011110110000
3111201012001201210
423232132132300
5400330422343
631304400120
74606126104
oct1356363660
9451161653
10196732848
11a1061334
1255a76040
13319b2190
141c1b1904
1512411333
hexbb9e7b0

196732848 has 80 divisors (see below), whose sum is σ = 562179296. Its totient is φ = 58890240.

The previous prime is 196732841. The next prime is 196732853. The reversal of 196732848 is 848237691.

It is a super-2 number, since 2×1967328482 = 77407626964382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 196732797 and 196732806.

It is not an unprimeable number, because it can be changed into a prime (196732841) by changing a digit.

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, 18828 + ... + 27348.

Almost surely, 2196732848 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 196732848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281089648).

196732848 is an abundant number, since it is smaller than the sum of its proper divisors (365446448).

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

196732848 is a wasteful number, since it uses less digits than its factorization.

196732848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8576 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 196732848 is about 14026.1487230102. The cubic root of 196732848 is about 581.6016451905.

The spelling of 196732848 in words is "one hundred ninety-six million, seven hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 8521 11544 17042 23088 25563 34084 51126 68168 102252 110773 136336 204504 221546 315277 332319 409008 443092 630554 664638 886184 945831 1261108 1329276 1772368 1891662 2522216 2658552 3783324 4098601 5044432 5317104 7566648 8197202 12295803 15133296 16394404 24591606 32788808 49183212 65577616 98366424 196732848