Search a number
-
+
806024028 = 22329103113199
BaseRepresentation
bin110000000010101…
…111001101011100
32002011200021002210
4300002233031130
53122320232103
6211551520420
725655043165
oct6002571534
92064607083
10806024028
11383a85867
121a5b29110
13cacb1ac4
147909676c
154ab66e03
hex300af35c

806024028 has 96 divisors (see below), whose sum is σ = 1991808000. Its totient is φ = 253338624.

The previous prime is 806023973. The next prime is 806024059. The reversal of 806024028 is 820420608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 806023986 and 806024004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4050273 + ... + 4050471.

It is an arithmetic number, because the mean of its divisors is an integer number (20748000).

Almost surely, 2806024028 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 806024028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904000).

806024028 is an abundant number, since it is smaller than the sum of its proper divisors (1185783972).

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

806024028 is a wasteful number, since it uses less digits than its factorization.

806024028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 806024028 is about 28390.5623051041. The cubic root of 806024028 is about 930.6420309427.

The spelling of 806024028 in words is "eight hundred six million, twenty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 103 113 116 174 199 206 226 309 339 348 398 412 452 597 618 678 796 1194 1236 1356 2388 2987 3277 5771 5974 6554 8961 9831 11542 11639 11948 13108 17313 17922 19662 20497 22487 23084 23278 34626 34917 35844 39324 40994 44974 46556 61491 67461 69252 69834 81988 89948 122982 134922 139668 245964 269844 337531 594413 652123 675062 1012593 1188826 1304246 1350124 1783239 1956369 2025186 2316161 2377652 2608492 3566478 3912738 4050372 4632322 6948483 7132956 7825476 9264644 13896966 27793932 67168669 134337338 201506007 268674676 403012014 806024028