Search a number
-
+
84212442 = 23241532153
BaseRepresentation
bin1010000010011…
…11101011011010
312212110102202100
411001033223122
5133024244232
612204544230
72041536216
oct501175332
9185412670
1084212442
1143599066
1224252076
13145a6862
14b281946
1575d6c7c
hex504fada

84212442 has 48 divisors (see below), whose sum is σ = 190525608. Its totient is φ = 26856960.

The previous prime is 84212431. The next prime is 84212449. The reversal of 84212442 is 24421248.

84212442 is a `hidden beast` number, since 8 + 4 + 212 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39576681 + 44635761 = 6291^2 + 6681^2 .

It is not an unprimeable number, because it can be changed into a prime (84212449) 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, 38038 + ... + 40190.

Almost surely, 284212442 is an apocalyptic number.

84212442 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

84212442 is an abundant number, since it is smaller than the sum of its proper divisors (106313166).

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

84212442 is a wasteful number, since it uses less digits than its factorization.

84212442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2252 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 84212442 is about 9176.7337326524. The cubic root of 84212442 is about 438.3208070686.

The spelling of 84212442 in words is "eighty-four million, two hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 41 53 82 106 123 159 246 318 369 477 738 954 2153 2173 4306 4346 6459 6519 12918 13038 19377 19557 38754 39114 88273 114109 176546 228218 264819 342327 529638 684654 794457 1026981 1588914 2053962 4678469 9356938 14035407 28070814 42106221 84212442