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4141242 = 2327231429
BaseRepresentation
bin1111110011000010111010
321210101201100
433303002322
52030004432
6224432230
750125410
oct17630272
97711640
104141242
112379416
121478676
13b1cc51
1479b2b0
1556c07c
hex3f30ba

4141242 has 48 divisors (see below), whose sum is σ = 10707840. Its totient is φ = 1130976.

The previous prime is 4141223. The next prime is 4141243. The reversal of 4141242 is 2421414.

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

4141242 is a modest number, since divided by 1242 gives 414 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4141243) 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 23 ways as a sum of consecutive naturals, for example, 2184 + ... + 3612.

It is an arithmetic number, because the mean of its divisors is an integer number (223080).

Almost surely, 24141242 is an apocalyptic number.

4141242 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 4141242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353920).

4141242 is an abundant number, since it is smaller than the sum of its proper divisors (6566598).

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

4141242 is a wasteful number, since it uses less digits than its factorization.

4141242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4141242 is about 2035.0041768999. The cubic root of 4141242 is about 160.5869328454.

Adding to 4141242 its reverse (2421414), we get a palindrome (6562656).

It can be divided in two parts, 4 and 141242, that added together give a triangular number (141246 = T531).

The spelling of 4141242 in words is "four million, one hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1429 1449 2858 2898 4287 8574 10003 12861 20006 25722 30009 32867 60018 65734 90027 98601 180054 197202 230069 295803 460138 591606 690207 1380414 2070621 4141242