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84276144 = 2432585251
BaseRepresentation
bin1010000010111…
…11001110110000
312212120200010200
411001133032300
5133033314034
612210155200
72042223021
oct501371660
9185520120
1084276144
1143631a07
1224282b00
13145c9854
14b29ac48
1575eaa99
hex505f3b0

84276144 has 30 divisors (see below), whose sum is σ = 235856556. Its totient is φ = 28092000.

The previous prime is 84276133. The next prime is 84276149. The reversal of 84276144 is 44167248.

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

It is a junction number, because it is equal to n+sod(n) for n = 84276099 and 84276108.

It is not an unprimeable number, because it can be changed into a prime (84276149) 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 5 ways as a sum of consecutive naturals, for example, 292482 + ... + 292769.

Almost surely, 284276144 is an apocalyptic number.

It is an amenable number.

84276144 is an abundant number, since it is smaller than the sum of its proper divisors (151580412).

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

84276144 is a wasteful number, since it uses less digits than its factorization.

84276144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585265 (or 585256 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 84276144 is about 9180.2039193038. The cubic root of 84276144 is about 438.4313009335.

The spelling of 84276144 in words is "eighty-four million, two hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 585251 1170502 1755753 2341004 3511506 4682008 5267259 7023012 9364016 10534518 14046024 21069036 28092048 42138072 84276144