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196678352 = 24137312953
BaseRepresentation
bin10111011100100…
…01001011010000
3111201002021222102
423232101023100
5400322201402
631303255532
74605511163
oct1356211320
9451067872
10196678352
11a10243a2
1255a4a5a8
1331993430
141c199ada
1512400102
hexbb912d0

196678352 has 40 divisors (see below), whose sum is σ = 416030664. Its totient is φ = 89524224.

The previous prime is 196678351. The next prime is 196678357. The reversal of 196678352 is 253876691.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 196672576 = 76^2 + 14024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 196678297 and 196678306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196678351) 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 7 ways as a sum of consecutive naturals, for example, 8708 + ... + 21660.

Almost surely, 2196678352 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 196678352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208015332).

196678352 is an abundant number, since it is smaller than the sum of its proper divisors (219352312).

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

196678352 is a wasteful number, since it uses less digits than its factorization.

196678352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047 (or 13041 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 196678352 is about 14024.2059311749. The cubic root of 196678352 is about 581.5479380260.

The spelling of 196678352 in words is "one hundred ninety-six million, six hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 12953 15184 25906 51812 103624 168389 207248 336778 673556 945569 1347112 1891138 2694224 3782276 7564552 12292397 15129104 24584794 49169588 98339176 196678352