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5105532224 = 261310160757
BaseRepresentation
bin1001100000101000…
…00011110101000000
3111011210221220120002
410300110003311000
540424004012344
62202341135132
7240343210412
oct46024036500
914153856502
105105532224
11218aa37a21
12ba59ba4a8
1363498b4b0
143660d29b2
151ed35044e
hex130503d40

5105532224 has 56 divisors (see below), whose sum is σ = 11018827848. Its totient is φ = 2333030400.

The previous prime is 5105532217. The next prime is 5105532247. The reversal of 5105532224 is 4222355015.

It can be written as a sum of positive squares in 4 ways, for example, as 1290246400 + 3815285824 = 35920^2 + 61768^2 .

It is a congruent number.

It is an unprimeable number.

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, 53654 + ... + 114410.

It is an arithmetic number, because the mean of its divisors is an integer number (196764783).

Almost surely, 25105532224 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 5105532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509413924).

5105532224 is an abundant number, since it is smaller than the sum of its proper divisors (5913295624).

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

5105532224 is a wasteful number, since it uses less digits than its factorization.

5105532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60883 (or 60873 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 5105532224 is about 71453.0071025706. The cubic root of 5105532224 is about 1721.9227893184.

Adding to 5105532224 its reverse (4222355015), we get a palindrome (9327887239).

The spelling of 5105532224 in words is "five billion, one hundred five million, five hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 202 208 404 416 808 832 1313 1616 2626 3232 5252 6464 10504 21008 42016 60757 84032 121514 243028 486056 789841 972112 1579682 1944224 3159364 3888448 6136457 6318728 12272914 12637456 24545828 25274912 49091656 50549824 79773941 98183312 159547882 196366624 319095764 392733248 638191528 1276383056 2552766112 5105532224