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84216144 = 2433747419
BaseRepresentation
bin1010000010100…
…00100101010000
312212110121211110
411001100211100
5133024404034
612205013320
72041553055
oct501204520
9185417743
1084216144
11435a0921
1224254240
13145a844c
14b28302c
1575d7de9
hex5050950

84216144 has 40 divisors (see below), whose sum is σ = 223443040. Its totient is φ = 27312768.

The previous prime is 84216137. The next prime is 84216149. The reversal of 84216144 is 44161248.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84216149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21934 + ... + 25485.

It is an arithmetic number, because the mean of its divisors is an integer number (5586076).

Almost surely, 284216144 is an apocalyptic number.

It is an amenable number.

84216144 is an abundant number, since it is smaller than the sum of its proper divisors (139226896).

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

84216144 is a wasteful number, since it uses less digits than its factorization.

84216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47467 (or 47461 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 84216144 is about 9176.9354361900. The cubic root of 84216144 is about 438.3272298719.

The spelling of 84216144 in words is "eighty-four million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 47419 94838 142257 189676 284514 379352 569028 758704 1138056 1754503 2276112 3509006 5263509 7018012 10527018 14036024 21054036 28072048 42108072 84216144