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4433613056 = 28173159557
BaseRepresentation
bin1000010000100001…
…11001000100000000
3102102222121212201222
410020100321010000
533040001104211
62011535414212
7214604042405
oct41020710400
912388555658
104433613056
111975728124
12a38984368
135587016a2
14300b882ac
151ae3781db
hex108439100

4433613056 has 144 divisors (see below), whose sum is σ = 9854369280. Its totient is φ = 1981317120.

The previous prime is 4433613049. The next prime is 4433613089. The reversal of 4433613056 is 6503163344.

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, 7959530 + ... + 7960086.

It is an arithmetic number, because the mean of its divisors is an integer number (68433120).

Almost surely, 24433613056 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 4433613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927184640).

4433613056 is an abundant number, since it is smaller than the sum of its proper divisors (5420756224).

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

4433613056 is a wasteful number, since it uses less digits than its factorization.

4433613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The square root of 4433613056 is about 66585.3816989886. The cubic root of 4433613056 is about 1642.8046713669.

The spelling of 4433613056 in words is "four billion, four hundred thirty-three million, six hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 59 62 64 68 118 124 128 136 236 248 256 272 472 496 527 544 557 944 992 1003 1054 1088 1114 1829 1888 1984 2006 2108 2176 2228 3658 3776 3968 4012 4216 4352 4456 7316 7552 7936 8024 8432 8912 9469 14632 15104 16048 16864 17267 17824 18938 29264 31093 32096 32863 33728 34534 35648 37876 58528 62186 64192 65726 67456 69068 71296 75752 117056 124372 128384 131452 134912 138136 142592 151504 234112 248744 256768 262904 276272 293539 303008 468224 497488 525808 552544 558671 587078 606016 994976 1018753 1051616 1105088 1117342 1174156 1212032 1989952 2037506 2103232 2210176 2234684 2348312 2424064 3979904 4075012 4206464 4420352 4469368 4696624 7959808 8150024 8412928 8938736 9393248 16300048 17318801 17877472 18786496 32600096 34637602 35754944 37572992 65200192 69275204 71509888 75145984 130400384 138550408 143019776 260800768 277100816 554201632 1108403264 2216806528 4433613056