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8053952 = 26612063
BaseRepresentation
bin11110101110010011000000
3120011011221112
4132232103000
54030211302
6444342452
7125312624
oct36562300
916134845
108053952
114601065
122844a28
13188cb6a
1410d9184
15a91552
hex7ae4c0

8053952 has 28 divisors (see below), whose sum is σ = 16251936. Its totient is φ = 3959040.

The previous prime is 8053949. The next prime is 8053961. The reversal of 8053952 is 2593508.

It is a happy number.

It is a super-2 number, since 2×80539522 = 129732285636608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2873 + ... + 4935.

Almost surely, 28053952 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 8053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125968).

8053952 is an abundant number, since it is smaller than the sum of its proper divisors (8197984).

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

8053952 is a wasteful number, since it uses less digits than its factorization.

8053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 8053952 is about 2837.9485548544. The cubic root of 8053952 is about 200.4485930690.

The spelling of 8053952 in words is "eight million, fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 2063 3904 4126 8252 16504 33008 66016 125843 132032 251686 503372 1006744 2013488 4026976 8053952