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5849120 = 255139263
BaseRepresentation
bin10110010100000000100000
3102000011111002
4112110000200
52444132440
6325211132
7100500554
oct26240040
912004432
105849120
113335592
121b60aa8
13129a424
14ac3864
157a8115
hex594020

5849120 has 48 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 2313984.

The previous prime is 5849119. The next prime is 5849149. The reversal of 5849120 is 219485.

It is a super-3 number, since 3×58491203 (a number of 21 digits) contains 333 as substring.

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, 22109 + ... + 22371.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 25849120 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 5849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

5849120 is an abundant number, since it is smaller than the sum of its proper divisors (8121760).

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

5849120 is a wasteful number, since it uses less digits than its factorization.

5849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5849120 is about 2418.4954000370. The cubic root of 5849120 is about 180.1759596213.

The spelling of 5849120 in words is "five million, eight hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 263 278 526 556 695 1052 1112 1315 1390 2104 2224 2630 2780 4208 4448 5260 5560 8416 10520 11120 21040 22240 36557 42080 73114 146228 182785 292456 365570 584912 731140 1169824 1462280 2924560 5849120