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4449159168 = 21131938113
BaseRepresentation
bin1000010010011000…
…01100100000000000
3102111001212200222220
410021030030200000
533102441043133
62013252531040
7215153141346
oct41114144000
912431780886
104449159168
111983486153
12a42020a80
1355b9b577c
14302c73996
151b08e95b3
hex10930c800

4449159168 has 96 divisors (see below), whose sum is σ = 12486146400. Its totient is φ = 1404960768.

The previous prime is 4449159139. The next prime is 4449159173. The reversal of 4449159168 is 8619519444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4449159168.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97680 + ... + 135792.

It is an arithmetic number, because the mean of its divisors is an integer number (130064025).

Almost surely, 24449159168 is an apocalyptic number.

4449159168 is a gapful number since it is divisible by the number (48) 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 4449159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243073200).

4449159168 is an abundant number, since it is smaller than the sum of its proper divisors (8036987232).

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

4449159168 is a wasteful number, since it uses less digits than its factorization.

4449159168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38157 (or 38137 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 4449159168 is about 66702.0177206057. The cubic root of 4449159168 is about 1644.7225528392.

The spelling of 4449159168 in words is "four billion, four hundred forty-nine million, one hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38113 38912 58368 76226 114339 116736 152452 228678 304904 457356 609808 724147 914712 1219616 1448294 1829424 2172441 2439232 2896588 3658848 4344882 4878464 5793176 7317696 8689764 9756928 11586352 14635392 17379528 19513856 23172704 29270784 34759056 39027712 46345408 58541568 69518112 78055424 92690816 117083136 139036224 185381632 234166272 278072448 370763264 556144896 741526528 1112289792 1483053056 2224579584 4449159168