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84713472 = 21333383
BaseRepresentation
bin1010000110010…
…10000000000000
312220101220001000
411003022000000
5133141312342
612223412000
72046024024
oct503120000
9186356030
1084713472
1143900538
1224454000
131472091c
14b372384
15768544c
hex50ca000

84713472 has 112 divisors (see below), whose sum is σ = 251642880. Its totient is φ = 28164096.

The previous prime is 84713443. The next prime is 84713477. The reversal of 84713472 is 27431748.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84713477) 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, 220993 + ... + 221375.

Almost surely, 284713472 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 84713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821440).

84713472 is an abundant number, since it is smaller than the sum of its proper divisors (166929408).

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

84713472 is an equidigital number, since it uses as much as digits as its factorization.

84713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 388 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 84713472 is about 9203.9921773109. The cubic root of 84713472 is about 439.1883660211.

The spelling of 84713472 in words is "eighty-four million, seven hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 383 384 432 512 576 766 768 864 1024 1149 1152 1532 1536 1728 2048 2298 2304 3064 3072 3447 3456 4096 4596 4608 6128 6144 6894 6912 8192 9192 9216 10341 12256 12288 13788 13824 18384 18432 20682 24512 24576 27576 27648 36768 36864 41364 49024 55152 55296 73536 73728 82728 98048 110304 110592 147072 165456 196096 220608 221184 294144 330912 392192 441216 588288 661824 784384 882432 1176576 1323648 1568768 1764864 2353152 2647296 3137536 3529728 4706304 5294592 7059456 9412608 10589184 14118912 21178368 28237824 42356736 84713472