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2444408928 = 25351324181
BaseRepresentation
bin1001000110110010…
…1011100001100000
320022100120211200000
42101230223201200
520001232041203
61042320100000
7114401063433
oct22154534140
96270524600
102444408928
111044894675
12582764600
132cc567220
141928dd81a
15e48e94a3
hex91b2b860

2444408928 has 144 divisors (see below), whose sum is σ = 7763582736. Its totient is φ = 752094720.

The previous prime is 2444408909. The next prime is 2444408933. The reversal of 2444408928 is 8298044442.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×24444089282 = 11950270014572218368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 88998 + ... + 113178.

It is an arithmetic number, because the mean of its divisors is an integer number (53913769).

Almost surely, 22444408928 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 2444408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881791368).

2444408928 is an abundant number, since it is smaller than the sum of its proper divisors (5319173808).

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

2444408928 is a wasteful number, since it uses less digits than its factorization.

2444408928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24219 (or 24199 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2444408928 is about 49440.9640682704. The cubic root of 2444408928 is about 1347.0734827299.

The spelling of 2444408928 in words is "two billion, four hundred forty-four million, four hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 24181 25272 33696 48362 50544 72543 96724 101088 145086 193448 217629 290172 314353 386896 435258 580344 628706 652887 773792 870516 943059 1160688 1257412 1305774 1741032 1886118 1958661 2321376 2514824 2611548 2829177 3482064 3772236 3917322 5029648 5223096 5658354 5875983 6964128 7544472 7834644 8487531 10059296 10446192 11316708 11751966 15088944 15669288 16975062 20892384 22633416 23503932 25462593 30177888 31338576 33950124 45266832 47007864 50925186 62677152 67900248 76387779 90533664 94015728 101850372 135800496 152775558 188031456 203700744 271600992 305551116 407401488 611102232 814802976 1222204464 2444408928