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42424242 = 23773101137
BaseRepresentation
bin1010000111010…
…1011110110010
32221211101010020
42201311132302
541330033432
64113144310
71023412560
oct241653662
987741106
1042424242
1121a46a63
121225b096
138a35103
1458c4a30
153ad022c
hex28757b2

42424242 has 64 divisors (see below), whose sum is σ = 99995904. Its totient is φ = 11750400.

The previous prime is 42424241. The next prime is 42424243. The reversal of 42424242 is 24242424.

It is an interprime number because it is at equal distance from previous prime (42424241) and next prime (42424243).

42424242 is an undulating number in base 10.

42424242 is a modest number, since divided by 424242 gives 42 as remainder.

It is not an unprimeable number, because it can be changed into a prime (42424241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309598 + ... + 309734.

It is an arithmetic number, because the mean of its divisors is an integer number (1562436).

Almost surely, 242424242 is an apocalyptic number.

42424242 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 42424242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49997952).

42424242 is an abundant number, since it is smaller than the sum of its proper divisors (57571662).

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

42424242 is a wasteful number, since it uses less digits than its factorization.

42424242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its digits is 4096, while the sum is 24.

The square root of 42424242 is about 6513.3894402223. The cubic root of 42424242 is about 348.7691239625.

Adding to 42424242 its reverse (24242424), we get a palindrome (66666666).

It can be divided in two parts, 4242424 and 2, that multiplied together give a palindrome (8484848).

The spelling of 42424242 in words is "forty-two million, four hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 73 101 137 146 202 219 274 303 411 438 511 606 707 822 959 1022 1414 1533 1918 2121 2877 3066 4242 5754 7373 10001 13837 14746 20002 22119 27674 30003 41511 44238 51611 60006 70007 83022 96859 103222 140014 154833 193718 210021 290577 309666 420042 581154 1010101 2020202 3030303 6060606 7070707 14141414 21212121 42424242