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2824024028 = 227939710733
BaseRepresentation
bin1010100001010011…
…0010111111011100
321021210220021200112
42220110302333130
521240422232103
61144120345152
7126660544130
oct25024627734
97253807615
102824024028
11121a0a7061
126699151b8
133600bc147
141cb0b93c0
15117dd2cd8
hexa8532fdc

2824024028 has 24 divisors (see below), whose sum is σ = 5649175392. Its totient is φ = 1210054464.

The previous prime is 2824024009. The next prime is 2824024051. The reversal of 2824024028 is 8204204282.

It is a happy number.

It is a super-2 number, since 2×28240240282 = 15950223421442689568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2824023985 and 2824024003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257750 + ... + 268482.

It is an arithmetic number, because the mean of its divisors is an integer number (235382308).

Almost surely, 22824024028 is an apocalyptic number.

2824024028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2824024028 is an abundant number, since it is smaller than the sum of its proper divisors (2825151364).

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

2824024028 is a wasteful number, since it uses less digits than its factorization.

2824024028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20141 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 2824024028 is about 53141.5470982921. The cubic root of 2824024028 is about 1413.4793317839.

The spelling of 2824024028 in words is "two billion, eight hundred twenty-four million, twenty-four thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 9397 10733 18794 21466 37588 42932 65779 75131 131558 150262 263116 300524 100858001 201716002 403432004 706006007 1412012014 2824024028