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4434489828 = 2234734332
BaseRepresentation
bin1000010000101000…
…01111000111100100
3102110001021102110000
410020110033013210
533040212133303
62012010301300
7214614353526
oct41024170744
912401242400
104434489828
11197617692a
12a39127830
1355894a7a2
14300d35a16
151ae49cda3
hex10850f1e4

4434489828 has 90 divisors (see below), whose sum is σ = 11778637794. Its totient is φ = 1454547456.

The previous prime is 4434489827. The next prime is 4434489833. The reversal of 4434489828 is 8289844344.

4434489828 is a `hidden beast` number, since 443 + 44 + 89 + 82 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 4433162724 = 1152^2 + 66582^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4434489821) 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 29 ways as a sum of consecutive naturals, for example, 10241100 + ... + 10241532.

Almost surely, 24434489828 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 4434489828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889318897).

4434489828 is an abundant number, since it is smaller than the sum of its proper divisors (7344147966).

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

4434489828 is an equidigital number, since it uses as much as digits as its factorization.

4434489828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 511 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 4434489828 is about 66591.9651910048. The cubic root of 4434489828 is about 1642.9129555272.

The spelling of 4434489828 in words is "four billion, four hundred thirty-four million, four hundred eighty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 433 438 657 866 876 1299 1314 1732 1971 2598 2628 3897 3942 5196 5913 7794 7884 11691 11826 15588 23382 23652 31609 35073 46764 63218 70146 94827 126436 140292 187489 189654 284481 374978 379308 562467 568962 749956 853443 1124934 1137924 1687401 1706886 2249868 2560329 3374802 3413772 5062203 5120658 6749604 10124406 10241316 13686697 15186609 20248812 27373394 30373218 41060091 54746788 60746436 82120182 123180273 164240364 246360546 369540819 492721092 739081638 1108622457 1478163276 2217244914 4434489828