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8055864 = 2332127881
BaseRepresentation
bin11110101110110000111000
3120011021120100
4132232300320
54030241424
6444355400
7125321325
oct36566070
916137510
108055864
114602543
122845b60
1318909ab
1410d9b4c
15a91dc9
hex7aec38

8055864 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 2661120.

The previous prime is 8055857. The next prime is 8055869. The reversal of 8055864 is 4685508.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8055869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8704 + ... + 9584.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 28055864 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 8055864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

8055864 is an abundant number, since it is smaller than the sum of its proper divisors (13958856).

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

8055864 is a wasteful number, since it uses less digits than its factorization.

8055864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8055864 is about 2838.2853979119. The cubic root of 8055864 is about 200.4644539112.

The spelling of 8055864 in words is "eight million, fifty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 881 1016 1143 1524 1762 2286 2643 3048 3524 4572 5286 7048 7929 9144 10572 15858 21144 31716 63432 111887 223774 335661 447548 671322 895096 1006983 1342644 2013966 2685288 4027932 8055864