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2483416960 = 2757615099
BaseRepresentation
bin1001010000000101…
…1110111110000000
320102001222122121221
42110001132332000
520041223320320
61050232124424
7115353460453
oct22401367600
96361878557
102483416960
111064907a12
12593836714
133076743bb
14197b7549a
15e80523aa
hex9405ef80

2483416960 has 64 divisors (see below), whose sum is σ = 5945886000. Its totient is φ = 991866880.

The previous prime is 2483416937. The next prime is 2483416961. The reversal of 2483416960 is 696143842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483416961) 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 7 ways as a sum of consecutive naturals, for example, 484491 + ... + 489589.

Almost surely, 22483416960 is an apocalyptic number.

2483416960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972943000).

2483416960 is an abundant number, since it is smaller than the sum of its proper divisors (3462469040).

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

2483416960 is an equidigital number, since it uses as much as digits as its factorization.

2483416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 2483416960 is about 49833.8936869276. The cubic root of 2483416960 is about 1354.2012621673.

The spelling of 2483416960 in words is "two billion, four hundred eighty-three million, four hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 761 1522 3044 3805 5099 6088 7610 10198 12176 15220 20396 24352 25495 30440 40792 48704 50990 60880 81584 97408 101980 121760 163168 203960 243520 326336 407920 487040 652672 815840 1631680 3263360 3880339 7760678 15521356 19401695 31042712 38803390 62085424 77606780 124170848 155213560 248341696 310427120 496683392 620854240 1241708480 2483416960