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2483668416 = 26331417283
BaseRepresentation
bin1001010000001001…
…1100010111000000
320102002110102120010
42110002130113000
520041304342131
61050241344520
7115355555535
oct22402342700
96362412503
102483668416
111064a69929
12593938140
133077319a8
14197bdcd8c
15e80a1b46
hex9409c5c0

2483668416 has 56 divisors (see below), whose sum is σ = 6783368704. Its totient is φ = 801181440.

The previous prime is 2483668381. The next prime is 2483668417. The reversal of 2483668416 is 6148663842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483668417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202690 + ... + 214593.

It is an arithmetic number, because the mean of its divisors is an integer number (121131584).

Almost surely, 22483668416 is an apocalyptic number.

It is an amenable number.

2483668416 is an abundant number, since it is smaller than the sum of its proper divisors (4299700288).

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

2483668416 is a wasteful number, since it uses less digits than its factorization.

2483668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417329 (or 417319 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2483668416 is about 49836.4165645966. The cubic root of 2483668416 is about 1354.2469667410.

The spelling of 2483668416 in words is "two billion, four hundred eighty-three million, six hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 417283 834566 1251849 1669132 2503698 3338264 5007396 6676528 10014792 12935773 13353056 20029584 25871546 26706112 38807319 40059168 51743092 77614638 80118336 103486184 155229276 206972368 310458552 413944736 620917104 827889472 1241834208 2483668416