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2442421242 = 233314333931
BaseRepresentation
bin1001000110010100…
…0110001111111010
320022012211212002000
42101211012033322
520000224434432
61042205321430
7114345144432
oct22145061772
96265755060
102442421242
111043757258
12581b66276
132cc01c591
141925432c2
15e465557c
hex919463fa

2442421242 has 64 divisors (see below), whose sum is σ = 5733150720. Its totient is φ = 769532400.

The previous prime is 2442421231. The next prime is 2442421249. The reversal of 2442421242 is 2421242442.

2442421242 is a `hidden beast` number, since 2 + 442 + 4 + 212 + 4 + 2 = 666.

2442421242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2442421249) 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, 55017 + ... + 88947.

It is an arithmetic number, because the mean of its divisors is an integer number (89580480).

Almost surely, 22442421242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442421242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866575360).

2442421242 is an abundant number, since it is smaller than the sum of its proper divisors (3290729478).

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

2442421242 is a wasteful number, since it uses less digits than its factorization.

2442421242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34016 (or 34010 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2442421242 is about 49420.8583697208. The cubic root of 2442421242 is about 1346.7082567158.

Adding to 2442421242 its reverse (2421242442), we get a palindrome (4863663684).

The spelling of 2442421242 in words is "two billion, four hundred forty-two million, four hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 86 93 129 186 258 279 387 558 774 837 1161 1333 1674 2322 2666 3999 7998 11997 23994 33931 35991 67862 71982 101793 203586 305379 610758 916137 1051861 1459033 1832274 2103722 2918066 3155583 4377099 6311166 8754198 9466749 13131297 18933498 26262594 28400247 39393891 45230023 56800494 78787782 90460046 135690069 271380138 407070207 814140414 1221210621 2442421242