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2430258641 = 4176992
BaseRepresentation
bin1001000011011010…
…1100110111010001
320021100221221010022
42100312230313101
514434121234031
61041052513225
7114136600106
oct22066546721
96240857108
102430258641
1110378aa318
12579a7b815
132c9651585
14190a98aad
15e355197b
hex90dacdd1

2430258641 has 6 divisors (see below), whose sum is σ = 2489856642. Its totient is φ = 2370676080.

The previous prime is 2430258617. The next prime is 2430258703. The reversal of 2430258641 is 1468520342.

2430258641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1481865025 + 948393616 = 38495^2 + 30796^2 .

It is not a de Polignac number, because 2430258641 - 26 = 2430258577 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430258041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311810 + ... + 319508.

It is an arithmetic number, because the mean of its divisors is an integer number (414976107).

Almost surely, 22430258641 is an apocalyptic number.

It is an amenable number.

2430258641 is a deficient number, since it is larger than the sum of its proper divisors (59598001).

2430258641 is an frugal number, since it uses more digits than its factorization.

2430258641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15439 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2430258641 is about 49297.6535039955. The cubic root of 2430258641 is about 1344.4691208348.

Adding to 2430258641 its reverse (1468520342), we get a palindrome (3898778983).

The spelling of 2430258641 in words is "two billion, four hundred thirty million, two hundred fifty-eight thousand, six hundred forty-one".

Divisors: 1 41 7699 315659 59274601 2430258641