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27024144 = 243780429
BaseRepresentation
bin110011100010…
…1101100010000
31212211222011020
41213011230100
523404233034
62403115440
7445462410
oct147055420
955758136
1027024144
1114288704
129072b80
1357a2624
143836640
15258c249
hex19c5b10

27024144 has 40 divisors (see below), whose sum is σ = 79786560. Its totient is φ = 7721088.

The previous prime is 27024139. The next prime is 27024161. The reversal of 27024144 is 44142072.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 39879 + ... + 40550.

It is an arithmetic number, because the mean of its divisors is an integer number (1994664).

Almost surely, 227024144 is an apocalyptic number.

27024144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27024144 is an abundant number, since it is smaller than the sum of its proper divisors (52762416).

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

27024144 is a wasteful number, since it uses less digits than its factorization.

27024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80447 (or 80441 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 27024144 is about 5198.4751610448. The cubic root of 27024144 is about 300.0893955810.

The spelling of 27024144 in words is "twenty-seven million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 80429 160858 241287 321716 482574 563003 643432 965148 1126006 1286864 1689009 1930296 2252012 3378018 3860592 4504024 6756036 9008048 13512072 27024144