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4479769056 = 253725725939
BaseRepresentation
bin1000010110000001…
…11101100111100000
3102120012110211212110
410023000331213200
533133310102211
62020304555320
7216004260120
oct41300754740
912505424773
104479769056
111999792884
12a50322b40
13565142229
14306d60c80
151b3443ea6
hex10b03d9e0

4479769056 has 96 divisors (see below), whose sum is σ = 13492120320. Its totient is φ = 1274904576.

The previous prime is 4479769037. The next prime is 4479769067. The reversal of 4479769056 is 6509679744.

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

It is a super-2 number, since 2×44797690562 = 40136661590190262272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4479768987 and 4479769005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159735 + ... + 185673.

It is an arithmetic number, because the mean of its divisors is an integer number (140542920).

Almost surely, 24479769056 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 4479769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746060160).

4479769056 is an abundant number, since it is smaller than the sum of its proper divisors (9012351264).

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

4479769056 is a wasteful number, since it uses less digits than its factorization.

4479769056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26216 (or 26208 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The square root of 4479769056 is about 66931.0769075173. The cubic root of 4479769056 is about 1648.4857924690.

The spelling of 4479769056 in words is "four billion, four hundred seventy-nine million, seven hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 257 336 514 672 771 1028 1542 1799 2056 3084 3598 4112 5397 6168 7196 8224 10794 12336 14392 21588 24672 25939 28784 43176 51878 57568 77817 86352 103756 155634 172704 181573 207512 311268 363146 415024 544719 622536 726292 830048 1089438 1245072 1452584 2178876 2490144 2905168 4357752 5810336 6666323 8715504 13332646 17431008 19998969 26665292 39997938 46664261 53330584 79995876 93328522 106661168 139992783 159991752 186657044 213322336 279985566 319983504 373314088 559971132 639967008 746628176 1119942264 1493256352 2239884528 4479769056