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5930848144 = 2413214812
BaseRepresentation
bin1011000011000000…
…11000111110010000
3120022022221022011101
411201200120332100
544121244120034
62420302354144
7266654243314
oct54140307620
916268838141
105930848144
112573899aa1
12119628b954
13736966300
1440396bb44
1524aa28514
hex161818f90

5930848144 has 45 divisors (see below), whose sum is σ = 12451344339. Its totient is φ = 2735466240.

The previous prime is 5930848139. The next prime is 5930848181. The reversal of 5930848144 is 4418480395.

The square root of 5930848144 is 77012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1181984400 + 4748863744 = 34380^2 + 68912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5930848094 and 5930848103.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 4003884 + ... + 4005364.

Almost surely, 25930848144 is an apocalyptic number.

5930848144 is the 77012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5930848144

5930848144 is an abundant number, since it is smaller than the sum of its proper divisors (6520496195).

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

5930848144 is an equidigital number, since it uses as much as digits as its factorization.

5930848144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The cubic root of 5930848144 is about 1810.1126415659.

The spelling of 5930848144 in words is "five billion, nine hundred thirty million, eight hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1481 2704 2962 5924 11848 19253 23696 38506 77012 154024 250289 308048 500578 1001156 2002312 2193361 4004624 4386722 8773444 17546888 28513693 35093776 57027386 114054772 228109544 370678009 456219088 741356018 1482712036 2965424072 5930848144