Search a number
-
+
84689472 = 2637611033
BaseRepresentation
bin1010000110001…
…00001001000000
312220100200010010
411003010021000
5133140030342
612223104520
72045564040
oct503041100
9186320103
1084689472
11438944aa
1224442140
1314712a1a
14b367720
15767d29c
hex50c4240

84689472 has 112 divisors (see below), whose sum is σ = 260534912. Its totient is φ = 23777280.

The previous prime is 84689459. The next prime is 84689509. The reversal of 84689472 is 27498648.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81468 + ... + 82500.

Almost surely, 284689472 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 84689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130267456).

84689472 is an abundant number, since it is smaller than the sum of its proper divisors (175845440).

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

84689472 is a wasteful number, since it uses less digits than its factorization.

84689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 84689472 is about 9202.6883028819. The cubic root of 84689472 is about 439.1468869186.

The spelling of 84689472 in words is "eighty-four million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1033 1281 1344 1464 1708 1952 2066 2562 2928 3099 3416 3904 4132 5124 5856 6198 6832 7231 8264 10248 11712 12396 13664 14462 16528 20496 21693 24792 27328 28924 33056 40992 43386 49584 57848 63013 66112 81984 86772 99168 115696 126026 173544 189039 198336 231392 252052 347088 378078 441091 462784 504104 694176 756156 882182 1008208 1323273 1388352 1512312 1764364 2016416 2646546 3024624 3528728 4032832 5293092 6049248 7057456 10586184 12098496 14114912 21172368 28229824 42344736 84689472