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4443888944 = 2411177431999
BaseRepresentation
bin1000010001110000…
…00101110100110000
3102110200221221121102
410020320011310300
533100113421234
62012543543532
7215060301305
oct41070056460
912420857542
104443888944
1119805065a0
12a402baba8
1355a88b9b1
143022a10ac
151b0207c7e
hex108e05d30

4443888944 has 80 divisors (see below), whose sum is σ = 9963648000. Its totient is φ = 1897620480.

The previous prime is 4443888937. The next prime is 4443888947. The reversal of 4443888944 is 4498883444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4443888944.

It is not an unprimeable number, because it can be changed into a prime (4443888947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222057 + ... + 2224055.

It is an arithmetic number, because the mean of its divisors is an integer number (124545600).

Almost surely, 24443888944 is an apocalyptic number.

4443888944 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 4443888944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824000).

4443888944 is an abundant number, since it is smaller than the sum of its proper divisors (5519759056).

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

4443888944 is a wasteful number, since it uses less digits than its factorization.

4443888944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 56.

The square root of 4443888944 is about 66662.5002831427. The cubic root of 4443888944 is about 1644.0728809378.

The spelling of 4443888944 in words is "four billion, four hundred forty-three million, eight hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 743 748 1486 1496 1999 2972 2992 3998 5944 7996 8173 11888 12631 15992 16346 21989 25262 31984 32692 33983 43978 50524 65384 67966 87956 101048 130768 135932 138941 175912 202096 271864 277882 351824 373813 543728 555764 747626 1111528 1485257 1495252 2223056 2970514 2990504 5941028 5981008 11882056 16337827 23764112 25249369 32675654 50498738 65351308 100997476 130702616 201994952 261405232 277743059 403989904 555486118 1110972236 2221944472 4443888944