Search a number
-
+
196443936 = 25321371739
BaseRepresentation
bin10111011010101…
…11111100100000
3111200122101102100
423231113330200
5400242201221
631254250400
74603513563
oct1355277440
9450571370
10196443936
11a0984267
1255956a00
1331910820
141c1384da
15123a5926
hexbb57f20

196443936 has 144 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 59512320.

The previous prime is 196443913. The next prime is 196443971. The reversal of 196443936 is 639344691.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 196443891 and 196443900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265455 + ... + 266193.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 2196443936 is an apocalyptic number.

196443936 is a gapful number since it is divisible by the number (16) 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 196443936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

196443936 is an abundant number, since it is smaller than the sum of its proper divisors (414464544).

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

196443936 is a wasteful number, since it uses less digits than its factorization.

196443936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 828 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 196443936 is about 14015.8458895637. The cubic root of 196443936 is about 581.3168020344.

The spelling of 196443936 in words is "one hundred ninety-six million, four hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 234 284 288 312 416 426 468 568 624 639 739 852 923 936 1136 1248 1278 1478 1704 1846 1872 2217 2272 2556 2769 2956 3408 3692 3744 4434 5112 5538 5912 6651 6816 7384 8307 8868 9607 10224 11076 11824 13302 14768 16614 17736 19214 20448 22152 23648 26604 28821 29536 33228 35472 38428 44304 52469 53208 57642 66456 70944 76856 86463 88608 104938 106416 115284 132912 153712 157407 172926 209876 212832 230568 265824 307424 314814 345852 419752 461136 472221 629628 682097 691704 839504 922272 944442 1259256 1364194 1383408 1679008 1888884 2046291 2518512 2728388 2766816 3777768 4092582 5037024 5456776 6138873 7555536 8185164 10913552 12277746 15111072 16370328 21827104 24555492 32740656 49110984 65481312 98221968 196443936