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84229452 = 22324767743
BaseRepresentation
bin1010000010100…
…11110101001100
312212111022002100
411001103311030
5133030320302
612205155100
72041636626
oct501236514
9185438070
1084229452
11435aa91a
122425ba90
13145b1518
14b287c16
1575dbd1c
hex5053d4c

84229452 has 72 divisors (see below), whose sum is σ = 220985856. Its totient is φ = 27032544.

The previous prime is 84229447. The next prime is 84229459. The reversal of 84229452 is 25492248.

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

It is not an unprimeable number, because it can be changed into a prime (84229459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112993 + ... + 113735.

It is an arithmetic number, because the mean of its divisors is an integer number (3069248).

Almost surely, 284229452 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 84229452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

84229452 is an abundant number, since it is smaller than the sum of its proper divisors (136756404).

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

84229452 is a wasteful number, since it uses less digits than its factorization.

84229452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 84229452 is about 9177.6604862024. The cubic root of 84229452 is about 438.3503170983.

It can be divided in two parts, 84229 and 452, that added together give a square (84681 = 2912).

The spelling of 84229452 in words is "eighty-four million, two hundred twenty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 67 94 134 141 188 201 268 282 402 423 564 603 743 804 846 1206 1486 1692 2229 2412 2972 3149 4458 6298 6687 8916 9447 12596 13374 18894 26748 28341 34921 37788 49781 56682 69842 99562 104763 113364 139684 149343 199124 209526 298686 314289 419052 448029 597372 628578 896058 1257156 1792116 2339707 4679414 7019121 9358828 14038242 21057363 28076484 42114726 84229452