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2444214032 = 241317273557
BaseRepresentation
bin1001000110101111…
…1011111100010000
320022100012221022122
42101223323330100
520001204322112
61042311553412
7114366322301
oct22153737420
96270187278
102444214032
1110447711a7
1258268b868
132cc4c95c0
1419288c7a8
15e48ab872
hex91afbf10

2444214032 has 120 divisors (see below), whose sum is σ = 5501663496. Its totient is φ = 1045315584.

The previous prime is 2444214013. The next prime is 2444214053. The reversal of 2444214032 is 2304124442.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 563777536 + 1880436496 = 23744^2 + 43364^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2444213992 and 2444214010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4387898 + ... + 4388454.

Almost surely, 22444214032 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 2444214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750831748).

2444214032 is an abundant number, since it is smaller than the sum of its proper divisors (3057449464).

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

2444214032 is a wasteful number, since it uses less digits than its factorization.

2444214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2444214032 is about 49438.9930318165. The cubic root of 2444214032 is about 1347.0376804536.

Adding to 2444214032 its reverse (2304124442), we get a palindrome (4748338474).

The spelling of 2444214032 in words is "two billion, four hundred forty-four million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 73 104 136 146 208 221 272 289 292 442 557 578 584 884 949 1114 1156 1168 1241 1768 1898 2228 2312 2482 3536 3757 3796 4456 4624 4964 7241 7514 7592 8912 9469 9928 14482 15028 15184 16133 18938 19856 21097 28964 30056 32266 37876 40661 42194 57928 60112 64532 75752 81322 84388 115856 123097 129064 151504 160973 162644 168776 246194 258128 274261 321946 325288 337552 492388 528593 548522 643892 650576 691237 984776 1057186 1097044 1287784 1382474 1969552 2092649 2114372 2194088 2575568 2764948 4185298 4228744 4388176 5529896 8370596 8457488 8986081 11059792 11751029 16741192 17972162 23502058 33482384 35944324 47004116 71888648 94008232 143777296 152763377 188016464 305526754 611053508 1222107016 2444214032