Search a number
-
+
1645442964 = 2233112236211
BaseRepresentation
bin110001000010011…
…0111011110010100
311020200012011102000
41202010313132110
511332213133324
6431135315300
755530014544
oct14204673624
94220164360
101645442964
1177489a720
1239b07bb30
13202b86bb9
14118763324
15996c89c9
hex62137794

1645442964 has 96 divisors (see below), whose sum is σ = 4675399680. Its totient is φ = 496303200.

The previous prime is 1645442957. The next prime is 1645442969. The reversal of 1645442964 is 4692445461.

1645442964 is a `hidden beast` number, since 16 + 4 + 544 + 2 + 96 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645442969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261819 + ... + 268029.

It is an arithmetic number, because the mean of its divisors is an integer number (48702080).

Almost surely, 21645442964 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 1645442964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337699840).

1645442964 is an abundant number, since it is smaller than the sum of its proper divisors (3029956716).

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

1645442964 is a wasteful number, since it uses less digits than its factorization.

1645442964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6450 counting only the distinct ones).

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

The square root of 1645442964 is about 40564.0600039000. The cubic root of 1645442964 is about 1180.5768901867.

The spelling of 1645442964 in words is "one billion, six hundred forty-five million, four hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 223 297 396 446 594 669 892 1188 1338 2007 2453 2676 4014 4906 6021 6211 7359 8028 9812 12042 12422 14718 18633 22077 24084 24844 29436 37266 44154 55899 66231 68321 74532 88308 111798 132462 136642 167697 204963 223596 264924 273284 335394 409926 614889 670788 819852 1229778 1385053 1844667 2459556 2770106 3689334 4155159 5540212 7378668 8310318 12465477 15235583 16620636 24930954 30471166 37396431 45706749 49861908 60942332 74792862 91413498 137120247 149585724 182826996 274240494 411360741 548480988 822721482 1645442964