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4332042 = 2341121317
BaseRepresentation
bin10000100001101000001010
322011002110000
4100201220022
52102111132
6232503430
751551601
oct20415012
98132400
104332042
112499800
12154ab76
13b88a50
1480aa38
155a887c
hex421a0a

4332042 has 120 divisors (see below), whose sum is σ = 12166308. Its totient is φ = 1140480.

The previous prime is 4332011. The next prime is 4332043. The reversal of 4332042 is 2402334.

It can be written as a sum of positive squares in 2 ways, for example, as 4322241 + 9801 = 2079^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 42 + 34 + 38 + 23 + 0 + 411 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332043) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 254818 + ... + 254834.

Almost surely, 24332042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083154).

4332042 is an abundant number, since it is smaller than the sum of its proper divisors (7834266).

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

4332042 is a wasteful number, since it uses less digits than its factorization.

4332042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4332042 is about 2081.3558081212. The cubic root of 4332042 is about 163.0162453855.

Adding to 4332042 its reverse (2402334), we get a palindrome (6734376).

The spelling of 4332042 in words is "four million, three hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 81 99 102 117 121 143 153 162 187 198 221 234 242 286 297 306 351 363 374 429 442 459 561 594 663 702 726 858 891 918 1053 1089 1122 1287 1326 1377 1573 1683 1782 1989 2057 2106 2178 2431 2574 2754 3146 3267 3366 3861 3978 4114 4719 4862 5049 5967 6171 6534 7293 7722 9438 9801 10098 11583 11934 12342 14157 14586 15147 17901 18513 19602 21879 23166 26741 28314 30294 35802 37026 42471 43758 53482 55539 65637 80223 84942 111078 127413 131274 160446 166617 196911 240669 254826 333234 393822 481338 722007 1444014 2166021 4332042