Search a number
-
+
84627621 = 321337113173
BaseRepresentation
bin1010000101101…
…01000010100101
312220020112021100
411002311002211
5133131040441
612221510313
72045215521
oct502650245
9186215240
1084627621
1143851a91
1224412399
13146c0820
14b34cd81
157669cb6
hex50b50a5

84627621 has 48 divisors (see below), whose sum is σ = 137185776. Its totient is φ = 49932288.

The previous prime is 84627617. The next prime is 84627661. The reversal of 84627621 is 12672648.

84627621 is a `hidden beast` number, since 8 + 4 + 6 + 27 + 621 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245025 + 84382596 = 495^2 + 9186^2 .

It is not a de Polignac number, because 84627621 - 22 = 84627617 is a prime.

It is a super-2 number, since 2×846276212 = 14323668472239282, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84627661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 489091 + ... + 489263.

It is an arithmetic number, because the mean of its divisors is an integer number (2858037).

Almost surely, 284627621 is an apocalyptic number.

It is an amenable number.

84627621 is a deficient number, since it is larger than the sum of its proper divisors (52558155).

84627621 is a wasteful number, since it uses less digits than its factorization.

84627621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 84627621 is about 9199.3272036601. The cubic root of 84627621 is about 439.0399539534.

The spelling of 84627621 in words is "eighty-four million, six hundred twenty-seven thousand, six hundred twenty-one".

Divisors: 1 3 9 13 37 39 111 113 117 173 333 339 481 519 1017 1443 1469 1557 2249 4181 4329 4407 6401 6747 12543 13221 19203 19549 20241 37629 54353 57609 58647 83213 163059 175941 249639 254137 489177 723313 748917 762411 2169939 2287233 6509817 9403069 28209207 84627621