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5850040 = 2357171229
BaseRepresentation
bin10110010100001110111000
3102000012202011
4112110032320
52444200130
6325215304
7100503340
oct26241670
912005664
105850040
113336249
121b61534
13129a981
14ac3d20
157a852a
hex5943b8

5850040 has 64 divisors (see below), whose sum is σ = 15940800. Its totient is φ = 1886208.

The previous prime is 5849993. The next prime is 5850049. The reversal of 5850040 is 400585.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5849993 and 5850020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5850049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4146 + ... + 5374.

It is an arithmetic number, because the mean of its divisors is an integer number (249075).

Almost surely, 25850040 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 5850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970400).

5850040 is an abundant number, since it is smaller than the sum of its proper divisors (10090760).

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

5850040 is a wasteful number, since it uses less digits than its factorization.

5850040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5850040 is about 2418.6855934577. The cubic root of 5850040 is about 180.1854056686.

The spelling of 5850040 in words is "five million, eight hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 1229 2380 2458 4760 4916 6145 8603 9832 12290 17206 20893 24580 34412 41786 43015 49160 68824 83572 86030 104465 146251 167144 172060 208930 292502 344120 417860 585004 731255 835720 1170008 1462510 2925020 5850040