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8052768 = 253227961
BaseRepresentation
bin11110101110000000100000
3120011010022200
4132232000200
54030142033
6444333200
7125306313
oct36560040
916133280
108052768
114600189
122844200
13188c469
1410d897a
15a91013
hex7ae020

8052768 has 36 divisors (see below), whose sum is σ = 22900878. Its totient is φ = 2684160.

The previous prime is 8052763. The next prime is 8052773. The reversal of 8052768 is 8672508.

It is an interprime number because it is at equal distance from previous prime (8052763) and next prime (8052773).

It can be written as a sum of positive squares in only one way, i.e., 7551504 + 501264 = 2748^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (8052763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13693 + ... + 14268.

Almost surely, 28052768 is an apocalyptic number.

It is an amenable number.

8052768 is an abundant number, since it is smaller than the sum of its proper divisors (14848110).

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

8052768 is a wasteful number, since it uses less digits than its factorization.

8052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27977 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8052768 is about 2837.7399458019. The cubic root of 8052768 is about 200.4387700337.

The spelling of 8052768 in words is "eight million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 27961 55922 83883 111844 167766 223688 251649 335532 447376 503298 671064 894752 1006596 1342128 2013192 2684256 4026384 8052768