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445011424 = 251113791231
BaseRepresentation
bin11010100001100…
…101010111100000
31011000100220220121
4122201211113200
51402410331144
6112054050024
714012351254
oct3241452740
91130326817
10445011424
11209219740
12105049914
1371271190
1443160264
1529105384
hex1a8655e0

445011424 has 96 divisors (see below), whose sum is σ = 1043159040. Its totient is φ = 184204800.

The previous prime is 445011421. The next prime is 445011433. The reversal of 445011424 is 424110544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445011421) 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 15 ways as a sum of consecutive naturals, for example, 360889 + ... + 362119.

It is an arithmetic number, because the mean of its divisors is an integer number (10866240).

Almost surely, 2445011424 is an apocalyptic number.

445011424 is a gapful number since it is divisible by the number (44) 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 445011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521579520).

445011424 is an abundant number, since it is smaller than the sum of its proper divisors (598147616).

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

445011424 is a wasteful number, since it uses less digits than its factorization.

445011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 445011424 is about 21095.2938827597. The cubic root of 445011424 is about 763.4672052579.

Adding to 445011424 its reverse (424110544), we get a palindrome (869121968).

The spelling of 445011424 in words is "four hundred forty-five million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 79 88 104 143 158 176 208 286 316 352 416 572 632 869 1027 1144 1231 1264 1738 2054 2288 2462 2528 3476 4108 4576 4924 6952 8216 9848 11297 13541 13904 16003 16432 19696 22594 27082 27808 32006 32864 39392 45188 54164 64012 90376 97249 108328 128024 176033 180752 194498 216656 256048 352066 361504 388996 433312 512096 704132 777992 1069739 1264237 1408264 1555984 2139478 2528474 2816528 3111968 4278956 5056948 5633056 8557912 10113896 13906607 17115824 20227792 27813214 34231648 40455584 55626428 111252856 222505712 445011424