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2424054016 = 2844921089
BaseRepresentation
bin1001000001111100…
…0010000100000000
320020221021200222101
42100133002010000
514431024212031
61040311520144
7114033055606
oct22037020400
96227250871
102424054016
11103435172a
12577989054
132c828b3b7
1418dd21876
15e2c28361
hex907c2100

2424054016 has 36 divisors (see below), whose sum is σ = 4849645500. Its totient is φ = 1209270272.

The previous prime is 2424053993. The next prime is 2424054023. The reversal of 2424054016 is 6104504242.

It can be written as a sum of positive squares in 2 ways, for example, as 2070614016 + 353440000 = 45504^2 + 18800^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104400 + ... + 125488.

It is an arithmetic number, because the mean of its divisors is an integer number (134712375).

Almost surely, 22424054016 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 2424054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424822750).

2424054016 is an abundant number, since it is smaller than the sum of its proper divisors (2425591484).

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

2424054016 is an equidigital number, since it uses as much as digits as its factorization.

2424054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21554 (or 21540 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2424054016 is about 49234.6830598106. The cubic root of 2424054016 is about 1343.3239702949.

Adding to 2424054016 its reverse (6104504242), we get a palindrome (8528558258).

The spelling of 2424054016 in words is "two billion, four hundred twenty-four million, fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 449 898 1796 3592 7184 14368 21089 28736 42178 57472 84356 114944 168712 337424 674848 1349696 2699392 5398784 9468961 18937922 37875844 75751688 151503376 303006752 606013504 1212027008 2424054016