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4830913296 = 24321125711867
BaseRepresentation
bin1000111111111000…
…11110001100010000
3110110200012211012200
410133330132030100
534343203211141
62115211123200
7230500041216
oct43774361420
913420184180
104830913296
112059a19730
12b29a43500
135bcb091a1
1433b848cb6
151d41a6ab6
hex11ff1e310

4830913296 has 120 divisors (see below), whose sum is σ = 14807561184. Its totient is φ = 1458094080.

The previous prime is 4830913291. The next prime is 4830913301. The reversal of 4830913296 is 6923190384.

It is a happy number.

4830913296 is a `hidden beast` number, since 48 + 309 + 13 + 296 = 666.

It is an interprime number because it is at equal distance from previous prime (4830913291) and next prime (4830913301).

It is not an unprimeable number, because it can be changed into a prime (4830913291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401155 + ... + 413021.

Almost surely, 24830913296 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 4830913296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403780592).

4830913296 is an abundant number, since it is smaller than the sum of its proper divisors (9976647888).

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

4830913296 is a wasteful number, since it uses less digits than its factorization.

4830913296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4830913296 is about 69504.7717498590. The cubic root of 4830913296 is about 1690.4788736666.

The spelling of 4830913296 in words is "four billion, eight hundred thirty million, nine hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 257 264 396 514 528 771 792 1028 1542 1584 2056 2313 2827 3084 4112 4626 5654 6168 8481 9252 11308 11867 12336 16962 18504 22616 23734 25443 33924 35601 37008 45232 47468 50886 67848 71202 94936 101772 106803 130537 135696 142404 189872 203544 213606 261074 284808 391611 407088 427212 522148 569616 783222 854424 1044296 1174833 1566444 1708848 2088592 2349666 3049819 3132888 4699332 6099638 6265776 9149457 9398664 12199276 18298914 18797328 24398552 27448371 33548009 36597828 48797104 54896742 67096018 73195656 100644027 109793484 134192036 146391312 201288054 219586968 268384072 301932081 402576108 439173936 536768144 603864162 805152216 1207728324 1610304432 2415456648 4830913296