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4830353472 = 263710193527
BaseRepresentation
bin1000111111110100…
…10101100001000000
3110110122011101021110
410133322111201000
534343032302342
62115151123320
7230462220120
oct43772254100
913418141243
104830353472
11205967706a
12b29813540
135bc971429
1433b740c80
151d40e5c9c
hex11fe95840

4830353472 has 112 divisors (see below), whose sum is σ = 14624547840. Its totient is φ = 1378355712.

The previous prime is 4830353471. The next prime is 4830353491. The reversal of 4830353472 is 2743530384.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 4830353472.

It is not an unprimeable number, because it can be changed into a prime (4830353471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367773 + ... + 1371299.

It is an arithmetic number, because the mean of its divisors is an integer number (130576320).

Almost surely, 24830353472 is an apocalyptic number.

4830353472 is a gapful number since it is divisible by the number (42) 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 4830353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312273920).

4830353472 is an abundant number, since it is smaller than the sum of its proper divisors (9794194368).

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

4830353472 is a wasteful number, since it uses less digits than its factorization.

4830353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4830353472 is about 69500.7443988912. The cubic root of 4830353472 is about 1690.4135715077.

The spelling of 4830353472 in words is "four billion, eight hundred thirty million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1019 1344 2038 3057 3527 4076 6114 7054 7133 8152 10581 12228 14108 14266 16304 21162 21399 24456 24689 28216 28532 32608 42324 42798 48912 49378 56432 57064 65216 74067 84648 85596 97824 98756 112864 114128 148134 169296 171192 195648 197512 225728 228256 296268 338592 342384 395024 456512 592536 677184 684768 790048 1185072 1369536 1580096 2370144 3594013 4740288 7188026 10782039 14376052 21564078 25158091 28752104 43128156 50316182 57504208 75474273 86256312 100632364 115008416 150948546 172512624 201264728 230016832 301897092 345025248 402529456 603794184 690050496 805058912 1207588368 1610117824 2415176736 4830353472