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42421212 = 22331013889
BaseRepresentation
bin1010000111010…
…0101111011100
32221211012222000
42201310233130
541324434322
64113122300
71023401001
oct241645734
987735860
1042421212
1121a44759
1212259390
138a33912
1458c38a8
153ace3ac
hex2874bdc

42421212 has 48 divisors (see below), whose sum is σ = 111098400. Its totient is φ = 13996800.

The previous prime is 42421201. The next prime is 42421219. The reversal of 42421212 is 21212424.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42421219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8964 + ... + 12852.

It is an arithmetic number, because the mean of its divisors is an integer number (2314550).

Almost surely, 242421212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55549200).

42421212 is an abundant number, since it is smaller than the sum of its proper divisors (68677188).

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

42421212 is a wasteful number, since it uses less digits than its factorization.

42421212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3995 counting only the distinct ones).

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

The square root of 42421212 is about 6513.1568382774. The cubic root of 42421212 is about 348.7608205684.

Adding to 42421212 its reverse (21212424), we get a palindrome (63633636).

The spelling of 42421212 in words is "forty-two million, four hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 3889 5454 7778 10908 11667 15556 23334 35001 46668 70002 105003 140004 210006 392789 420012 785578 1178367 1571156 2356734 3535101 4713468 7070202 10605303 14140404 21210606 42421212