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4445775444 = 22311139337719
BaseRepresentation
bin1000010001111110…
…10010011001010100
3102110211111210101210
410020333102121110
533101104303234
62013052221420
7215112316305
oct41077223124
912424453353
104445775444
111981584990
12a40a6a870
1355b09c576
143026327ac
151b047bbe9
hex108fd2654

4445775444 has 96 divisors (see below), whose sum is σ = 11447654400. Its totient is φ = 1331688960.

The previous prime is 4445775443. The next prime is 4445775539.

4445775444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4445775393 and 4445775402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445775443) 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, 6182917 + ... + 6183635.

It is an arithmetic number, because the mean of its divisors is an integer number (119246400).

Almost surely, 24445775444 is an apocalyptic number.

4445775444 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 4445775444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

4445775444 is an abundant number, since it is smaller than the sum of its proper divisors (7001878956).

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

4445775444 is a wasteful number, since it uses less digits than its factorization.

4445775444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

The square root of 4445775444 is about 66676.6484160684. The cubic root of 4445775444 is about 1644.3054928645.

The spelling of 4445775444 in words is "four billion, four hundred forty-five million, seven hundred seventy-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 337 417 556 674 719 834 1011 1348 1438 1529 1668 2022 2157 2876 3058 3707 4044 4314 4587 6116 7414 7909 8628 9174 11121 14828 15818 18348 22242 23727 31636 44484 46843 47454 93686 94908 99941 140529 187372 199882 242303 281058 299823 399764 484606 515273 562116 599646 726909 969212 1030546 1099351 1199292 1453818 1545819 2061092 2198702 2665333 2907636 3091638 3298053 4397404 5330666 6183276 6596106 7995999 10661332 13192212 15991998 31983996 33680117 67360234 101040351 134720468 202080702 370481287 404161404 740962574 1111443861 1481925148 2222887722 4445775444