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2421331242 = 23113476451
BaseRepresentation
bin1001000001010010…
…1001010100101010
320020202011101000220
42100110221110222
514424330044432
61040133310510
7114000655521
oct22024512452
96222141026
102421331242
111032862000
12576a95436
132c7846ca5
1418d8134b8
15e288b72c
hex9052952a

2421331242 has 64 divisors (see below), whose sum is σ = 5440739328. Its totient is φ = 718014000.

The previous prime is 2421331223. The next prime is 2421331243.

It is a happy number.

2421331242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2421331243) 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, 372117 + ... + 378567.

It is an arithmetic number, because the mean of its divisors is an integer number (85011552).

Almost surely, 22421331242 is an apocalyptic number.

2421331242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421331242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720369664).

2421331242 is an abundant number, since it is smaller than the sum of its proper divisors (3019408086).

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

2421331242 is a wasteful number, since it uses less digits than its factorization.

2421331242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6514 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2421331242 is about 49207.0243156401. The cubic root of 2421331242 is about 1342.8208272347.

It can be divided in two parts, 24213 and 31242, that added together give a palindrome (55455).

The spelling of 2421331242 in words is "two billion, four hundred twenty-one million, three hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1331 1551 2662 3102 3993 5687 6451 7986 11374 12902 17061 19353 34122 38706 62557 70961 125114 141922 187671 212883 303197 375342 425766 606394 780571 909591 1561142 1819182 2341713 3335167 4683426 6670334 8586281 10005501 17172562 20011002 25758843 36686837 51517686 73373674 110060511 220121022 403555207 807110414 1210665621 2421331242