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84233016 = 23327374517
BaseRepresentation
bin1010000010101…
…00101100111000
312212111110222100
411001110230320
5133030424031
612205223400
72041653210
oct501245470
9185443870
1084233016
114360256a
1224261b60
13145b302a
14b289240
1575dcde6
hex5054b38

84233016 has 96 divisors (see below), whose sum is σ = 267827040. Its totient is φ = 23410944.

The previous prime is 84232997. The next prime is 84233029. The reversal of 84233016 is 61033248.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16390 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (2789865).

Almost surely, 284233016 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 84233016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133913520).

84233016 is an abundant number, since it is smaller than the sum of its proper divisors (183594024).

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

84233016 is a wasteful number, since it uses less digits than its factorization.

84233016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 84233016 is about 9177.8546512788. The cubic root of 84233016 is about 438.3564996487.

The spelling of 84233016 in words is "eighty-four million, two hundred thirty-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4517 4662 6216 9034 9324 13551 18068 18648 27102 31619 36136 40653 54204 63238 81306 94857 108408 126476 162612 167129 189714 252952 284571 325224 334258 379428 501387 569142 668516 758856 1002774 1138284 1169903 1337032 1504161 2005548 2276568 2339806 3008322 3509709 4011096 4679612 6016644 7019418 9359224 10529127 12033288 14038836 21058254 28077672 42116508 84233016