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4427001760 = 255163199853
BaseRepresentation
bin1000001111101111…
…01010111110100000
3102102112011222202011
410013313222332200
533031303024020
62011142002304
7214463615446
oct40767527640
912375158664
104427001760
111971a21a45
12a36716394
1355722838c
142ddd46b96
151ad9be35a
hex107deafa0

4427001760 has 96 divisors (see below), whose sum is σ = 10588233600. Its totient is φ = 1749040128.

The previous prime is 4427001749. The next prime is 4427001823. The reversal of 4427001760 is 671007244.

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, 5189494 + ... + 5190346.

It is an arithmetic number, because the mean of its divisors is an integer number (110294100).

Almost surely, 24427001760 is an apocalyptic number.

4427001760 is a gapful number since it is divisible by the number (40) 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 4427001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294116800).

4427001760 is an abundant number, since it is smaller than the sum of its proper divisors (6161231840).

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

4427001760 is a wasteful number, since it uses less digits than its factorization.

4427001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 4427001760 is about 66535.7179265393. The cubic root of 4427001760 is about 1641.9876950183.

The spelling of 4427001760 in words is "four billion, four hundred twenty-seven million, one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 199 326 398 652 796 815 853 995 1304 1592 1630 1706 1990 2608 3184 3260 3412 3980 4265 5216 6368 6520 6824 7960 8530 13040 13648 15920 17060 26080 27296 31840 32437 34120 64874 68240 129748 136480 139039 162185 169747 259496 278078 324370 339494 518992 556156 648740 678988 695195 848735 1037984 1112312 1297480 1357976 1390390 1697470 2224624 2594960 2715952 2780780 3394940 4449248 5189920 5431904 5561560 6789880 11123120 13579760 22246240 27159520 27668761 55337522 110675044 138343805 221350088 276687610 442700176 553375220 885400352 1106750440 2213500880 4427001760