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2421138258 = 2327113135581
BaseRepresentation
bin1001000001001111…
…1010001101010010
320020201210120022100
42100103322031102
514424302411013
61040125221230
7113666223060
oct22023721522
96221716270
102421138258
111032740010
12576a01816
132c77aa1b6
1418d7a3030
15e284e473
hex904fa352

2421138258 has 96 divisors (see below), whose sum is σ = 6562288512. Its totient is φ = 626745600.

The previous prime is 2421138257. The next prime is 2421138299. The reversal of 2421138258 is 8528311242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2421138257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431028 + ... + 436608.

It is an arithmetic number, because the mean of its divisors is an integer number (68357172).

Almost surely, 22421138258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421138258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281144256).

2421138258 is an abundant number, since it is smaller than the sum of its proper divisors (4141150254).

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

2421138258 is a wasteful number, since it uses less digits than its factorization.

2421138258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5917 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2421138258 is about 49205.0633370185. The cubic root of 2421138258 is about 1342.7851512926.

The spelling of 2421138258 in words is "two billion, four hundred twenty-one million, one hundred thirty-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 313 462 626 693 939 1386 1878 2191 2817 3443 4382 5581 5634 6573 6886 10329 11162 13146 16743 19719 20658 24101 30987 33486 39067 39438 48202 50229 61391 61974 72303 78134 100458 117201 122782 144606 184173 216909 234402 351603 368346 429737 433818 552519 703206 859474 1105038 1289211 1746853 2578422 3493706 3867633 5240559 7735266 10481118 12227971 15721677 19215383 24455942 31443354 36683913 38430766 57646149 73367826 110051739 115292298 134507681 172938447 220103478 269015362 345876894 403523043 807046086 1210569129 2421138258