Search a number
-
+
2442401352 = 233235396097
BaseRepresentation
bin1001000110010100…
…0001011001001000
320022012210211210100
42101211001121020
520000223320402
61042205045400
7114345032436
oct22145013110
96265724710
102442401352
111043743316
12581b56860
132cc013501
14192539d56
15e464e71c
hex91941648

2442401352 has 48 divisors (see below), whose sum is σ = 6633644940. Its totient is φ = 811819008.

The previous prime is 2442401329. The next prime is 2442401363. The reversal of 2442401352 is 2531042442.

It can be written as a sum of positive squares in 2 ways, for example, as 2139432516 + 302968836 = 46254^2 + 17406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22633 + ... + 73464.

Almost surely, 22442401352 is an apocalyptic number.

It is an amenable number.

2442401352 is an abundant number, since it is smaller than the sum of its proper divisors (4191243588).

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

2442401352 is a wasteful number, since it uses less digits than its factorization.

2442401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96462 (or 96455 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2442401352 is about 49420.6571384882. The cubic root of 2442401352 is about 1346.7046010401.

Adding to 2442401352 its reverse (2531042442), we get a palindrome (4973443794).

The spelling of 2442401352 in words is "two billion, four hundred forty-two million, four hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4236 6354 8472 12708 25416 96097 192194 288291 384388 576582 768776 864873 1153164 1729746 2306328 3459492 6918984 33922241 67844482 101766723 135688964 203533446 271377928 305300169 407066892 610600338 814133784 1221200676 2442401352