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2484125281 = 1122321972
BaseRepresentation
bin1001010000010000…
…1011111001100001
320102010022122021001
42110010023321201
520041414002111
61050255232001
7115362500521
oct22404137141
96363278231
102484125281
111065251100
12593b18601
13307861921
14197cbb681
15e81421c1
hex9410be61

2484125281 has 27 divisors (see below), whose sum is σ = 2868925843. Its totient is φ = 2149143920.

The previous prime is 2484125279. The next prime is 2484125291. The reversal of 2484125281 is 1825214842.

The square root of 2484125281 is 49841.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2433942225 + 50183056 = 49335^2 + 7084^2 .

It is not a de Polignac number, because 2484125281 - 21 = 2484125279 is a prime.

It is a super-2 number, since 2×24841252812 = 12341756823406657922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2484125281.

It is not an unprimeable number, because it can be changed into a prime (2484125291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12609675 + ... + 12609871.

Almost surely, 22484125281 is an apocalyptic number.

2484125281 is the 49841-st square number.

2484125281 is the 24921-st centered octagonal number.

It is an amenable number.

2484125281 is a deficient number, since it is larger than the sum of its proper divisors (384800562).

2484125281 is an equidigital number, since it uses as much as digits as its factorization.

2484125281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its digits is 40960, while the sum is 37.

The cubic root of 2484125281 is about 1354.3299985048.

It can be divided in two parts, 2484 and 125281, that added together give a triangular number (127765 = T505).

The spelling of 2484125281 in words is "two billion, four hundred eighty-four million, one hundred twenty-five thousand, two hundred eighty-one".

Divisors: 1 11 23 121 197 253 529 2167 2783 4531 5819 23837 38809 49841 64009 104213 426899 548251 892607 1146343 4695889 9818677 12609773 20529961 108005447 225829571 2484125281