Search a number
-
+
43948052226 = 236136734607
BaseRepresentation
bin101000111011100000…
…100000111100000010
311012102211000101000000
4220323200200330002
51210001200132401
632104531140430
73114034165101
oct507340407402
9135384011000
1043948052226
1117702591121
128626144716
1341b4cb6140
1421aca7c038
1512233ea186
hexa3b820f02

43948052226 has 112 divisors (see below), whose sum is σ = 108032609664. Its totient is φ = 13320264672.

The previous prime is 43948052179. The next prime is 43948052237. The reversal of 43948052226 is 62225084934.

43948052226 is a `hidden beast` number, since 43 + 9 + 4 + 80 + 522 + 2 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1252615 + ... + 1287221.

It is an arithmetic number, because the mean of its divisors is an integer number (964576872).

Almost surely, 243948052226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43948052226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54016304832).

43948052226 is an abundant number, since it is smaller than the sum of its proper divisors (64084557438).

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

43948052226 is a wasteful number, since it uses less digits than its factorization.

43948052226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34707 (or 34692 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 43948052226 in words is "forty-three billion, nine hundred forty-eight million, fifty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 81 117 134 162 201 234 243 351 402 486 603 702 729 871 1053 1206 1458 1742 1809 2106 2613 3159 3618 5226 5427 6318 7839 9477 10854 15678 16281 18954 23517 32562 34607 47034 48843 69214 70551 97686 103821 141102 207642 211653 311463 423306 449891 622926 634959 899782 934389 1269918 1349673 1868778 2318669 2699346 2803167 4049019 4637338 5606334 6956007 8098038 8409501 12147057 13912014 16819002 20868021 24294114 25228503 30142697 36441171 41736042 50457006 60285394 62604063 72882342 90428091 109323513 125208126 180856182 187812189 218647026 271284273 327970539 375624378 542568546 563436567 655941078 813852819 1126873134 1627705638 1690309701 2441558457 3380619402 4883116914 7324675371 14649350742 21974026113 43948052226