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42848442 = 232721337101
BaseRepresentation
bin1010001101110…
…1000010111010
32222121221000100
42203131002322
541432122232
64130220230
71030130400
oct243350272
988557010
1042848442
112220673a
1212424676
138b53210
145995470
153b65c7c
hex28dd0ba

42848442 has 144 divisors (see below), whose sum is σ = 120628872. Its totient is φ = 10886400.

The previous prime is 42848441. The next prime is 42848447. The reversal of 42848442 is 24484824.

42848442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42653961 + 194481 = 6531^2 + 441^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42848397 and 42848406.

It is not an unprimeable number, because it can be changed into a prime (42848441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424192 + ... + 424292.

Almost surely, 242848442 is an apocalyptic number.

42848442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42848442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60314436).

42848442 is an abundant number, since it is smaller than the sum of its proper divisors (77780430).

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

42848442 is a wasteful number, since it uses less digits than its factorization.

42848442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 42848442 is about 6545.8721344065. The cubic root of 42848442 is about 349.9277184069.

The spelling of 42848442 in words is "forty-two million, eight hundred forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 101 111 117 126 147 182 202 222 234 259 273 294 303 333 441 481 518 546 606 637 666 707 777 819 882 909 962 1274 1313 1414 1443 1554 1638 1813 1818 1911 2121 2331 2626 2886 3367 3626 3737 3822 3939 4242 4329 4662 4949 5439 5733 6363 6734 7474 7878 8658 9191 9898 10101 10878 11211 11466 11817 12726 14847 16317 18382 20202 22422 23569 23634 26159 27573 29694 30303 32634 33633 44541 47138 48581 52318 55146 60606 64337 67266 70707 78477 82719 89082 97162 128674 141414 145743 156954 165438 183113 193011 212121 235431 291486 340067 366226 386022 424242 437229 470862 549339 579033 680134 874458 1020201 1098678 1158066 1648017 2040402 2380469 3060603 3296034 4760938 6121206 7141407 14282814 21424221 42848442