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4234986 = 2327192961
BaseRepresentation
bin10000001001111011101010
321222011022100
4100021323222
52041004421
6230434230
750665620
oct20117352
97864270
104234986
112432898
121502976
13b53812
147c3510
15589c26
hex409eea

4234986 has 96 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 1088640.

The previous prime is 4234973. The next prime is 4234987. The reversal of 4234986 is 6894324.

It is a happy number.

It is a d-powerful number, because it can be written as 42 + 25 + 38 + 411 + 9 + 85 + 64 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4234986.

It is not an unprimeable number, because it can be changed into a prime (4234987) 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, 69396 + ... + 69456.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

Almost surely, 24234986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

4234986 is an abundant number, since it is smaller than the sum of its proper divisors (7371414).

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

4234986 is a wasteful number, since it uses less digits than its factorization.

4234986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4234986 is about 2057.9081612161. The cubic root of 4234986 is about 161.7896217476.

The spelling of 4234986 in words is "four million, two hundred thirty-four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 57 58 61 63 87 114 122 126 133 171 174 183 203 261 266 342 366 399 406 427 522 549 551 609 798 854 1098 1102 1159 1197 1218 1281 1653 1769 1827 2318 2394 2562 3306 3477 3538 3654 3843 3857 4959 5307 6954 7686 7714 8113 9918 10431 10614 11571 12383 15921 16226 20862 23142 24339 24766 31842 33611 34713 37149 48678 67222 69426 73017 74298 100833 111447 146034 201666 222894 235277 302499 470554 604998 705831 1411662 2117493 4234986