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4409114892 = 2237136166191
BaseRepresentation
bin1000001101100110…
…11100000100001100
3102101021112020120120
410012303130010030
533012213134032
62005302344540
7214155600240
oct40663340414
912337466516
104409114892
111962915306
12a3072b150
13553604a30
142db80c420
151ac13962c
hex106cdc10c

4409114892 has 96 divisors (see below), whose sum is σ = 12869842944. Its totient is φ = 1143763200.

The previous prime is 4409114887. The next prime is 4409114909. The reversal of 4409114892 is 2984119044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33517 + ... + 99707.

It is an arithmetic number, because the mean of its divisors is an integer number (134060864).

Almost surely, 24409114892 is an apocalyptic number.

4409114892 is a gapful number since it is divisible by the number (42) 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 4409114892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434921472).

4409114892 is an abundant number, since it is smaller than the sum of its proper divisors (8460728052).

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

4409114892 is a wasteful number, since it uses less digits than its factorization.

4409114892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66279 (or 66277 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4409114892 is about 66401.1663451780. The cubic root of 4409114892 is about 1639.7732796839.

The spelling of 4409114892 in words is "four billion, four hundred nine million, one hundred fourteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 182 183 244 273 364 366 427 546 732 793 854 1092 1281 1586 1708 2379 2562 3172 4758 5124 5551 9516 11102 16653 22204 33306 66191 66612 132382 198573 264764 397146 463337 794292 860483 926674 1390011 1720966 1853348 2581449 2780022 3441932 4037651 5162898 5560044 6023381 8075302 10325796 12046762 12112953 16150604 18070143 24093524 24225906 28263557 36140286 48451812 52489463 56527114 72280572 84790671 104978926 113054228 157468389 169581342 209957852 314936778 339162684 367426241 629873556 734852482 1102278723 1469704964 2204557446 4409114892