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2421433352 = 2313217137769
BaseRepresentation
bin1001000001010100…
…0010010000001000
320020202100120002202
42100111002100020
514424341331402
61040135415332
7114001562312
oct22025022010
96222316082
102421433352
111032921798
12576b24548
132c7881600
1418d83c7b2
15e28abb02
hex90542408

2421433352 has 96 divisors (see below), whose sum is σ = 5250306600. Its totient is φ = 1042808832.

The previous prime is 2421433351. The next prime is 2421433363. The reversal of 2421433352 is 2533341242.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 46430596 + 2375002756 = 6814^2 + 48734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421433351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3148424 + ... + 3149192.

Almost surely, 22421433352 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 2421433352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625153300).

2421433352 is an abundant number, since it is smaller than the sum of its proper divisors (2828873248).

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

2421433352 is a wasteful number, since it uses less digits than its factorization.

2421433352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 938 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 2421433352 is about 49208.0618598213. The cubic root of 2421433352 is about 1342.8397030092.

Adding to 2421433352 its reverse (2533341242), we get a palindrome (4954774594).

The spelling of 2421433352 in words is "two billion, four hundred twenty-one million, four hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 137 169 221 274 338 442 548 676 769 884 1096 1352 1538 1768 1781 2329 2873 3076 3562 4658 5746 6152 7124 9316 9997 11492 13073 14248 18632 19994 22984 23153 26146 30277 39988 46306 52292 60554 79976 92612 104584 105353 121108 129961 169949 185224 210706 242216 259922 339898 393601 421412 519844 679796 787202 842824 1039688 1359592 1369589 1574404 1791001 2209337 2739178 3148808 3582002 4418674 5478356 7164004 8837348 10956712 14328008 17674696 17804657 23283013 35609314 46566026 71218628 93132052 142437256 186264104 302679169 605358338 1210716676 2421433352