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5801832 = 2332611321
BaseRepresentation
bin10110001000011101101000
3101220202121200
4112020131220
52441124312
6324204200
7100212651
oct26103550
911822550
105801832
113303003
121b39660
131281a4a
14ab0528
157990dc
hex588768

5801832 has 48 divisors (see below), whose sum is σ = 15982980. Its totient is φ = 1900800.

The previous prime is 5801797. The next prime is 5801843. The reversal of 5801832 is 2381085.

It is a happy number.

5801832 is a `hidden beast` number, since 580 + 1 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5788836 + 12996 = 2406^2 + 114^2 .

It is a super-3 number, since 3×58018323 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5801796 and 5801805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3732 + ... + 5052.

Almost surely, 25801832 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 5801832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991490).

5801832 is an abundant number, since it is smaller than the sum of its proper divisors (10181148).

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

5801832 is a wasteful number, since it uses less digits than its factorization.

5801832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5801832 is about 2408.6992340265. The cubic root of 5801832 is about 179.6890929210.

The spelling of 5801832 in words is "five million, eight hundred one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1321 1464 2196 2642 3963 4392 5284 7926 10568 11889 15852 23778 31704 47556 80581 95112 161162 241743 322324 483486 644648 725229 966972 1450458 1933944 2900916 5801832