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84686472 = 2336131117
BaseRepresentation
bin1010000110000…
…11011010001000
312220100112000000
411003003122020
5133134431342
612223043000
72045552223
oct503033210
9186315000
1084686472
1143892222
1224440460
1314711550
14b3665ba
15767c44c
hex50c3688

84686472 has 112 divisors (see below), whose sum is σ = 256614540. Its totient is φ = 26034048.

The previous prime is 84686471. The next prime is 84686501. The reversal of 84686472 is 27468648.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 18198756 = 8154^2 + 4266^2 .

It is not an unprimeable number, because it can be changed into a prime (84686471) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75258 + ... + 76374.

Almost surely, 284686472 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 84686472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128307270).

84686472 is an abundant number, since it is smaller than the sum of its proper divisors (171928068).

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

84686472 is a wasteful number, since it uses less digits than its factorization.

84686472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1135 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 84686472 is about 9202.5253055887. The cubic root of 84686472 is about 439.1417014799.

It can be divided in two parts, 84686 and 472, that added together give a palindrome (85158).

The spelling of 84686472 in words is "eighty-four million, six hundred eighty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1117 1404 1458 1944 2106 2234 2808 2916 3159 3351 4212 4468 5832 6318 6702 8424 8936 9477 10053 12636 13404 14521 18954 20106 25272 26808 29042 30159 37908 40212 43563 58084 60318 75816 80424 87126 90477 116168 120636 130689 174252 180954 241272 261378 271431 348504 361908 392067 522756 542862 723816 784134 814293 1045512 1085724 1176201 1568268 1628586 2171448 2352402 3136536 3257172 3528603 4704804 6514344 7057206 9409608 10585809 14114412 21171618 28228824 42343236 84686472