Search a number
-
+
4872480288 = 2531319120441
BaseRepresentation
bin1001000100110110…
…00010011000100000
3110120120102122101220
410202123002120200
534434323332123
62123254055040
7231513253614
oct44233023040
913516378356
104872480288
11208042a615
12b3b94a480
135c8601040
14343189344
151d7b67ce3
hex1226c2620

4872480288 has 96 divisors (see below), whose sum is σ = 13846920192. Its totient is φ = 1491302400.

The previous prime is 4872480281. The next prime is 4872480331. The reversal of 4872480288 is 8820842784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4872480288.

It is not an unprimeable number, because it can be changed into a prime (4872480281) 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 15 ways as a sum of consecutive naturals, for example, 228148 + ... + 248588.

It is an arithmetic number, because the mean of its divisors is an integer number (144238752).

Almost surely, 24872480288 is an apocalyptic number.

4872480288 is a gapful number since it is divisible by the number (48) 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 4872480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923460096).

4872480288 is an abundant number, since it is smaller than the sum of its proper divisors (8974439904).

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

4872480288 is a wasteful number, since it uses less digits than its factorization.

4872480288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20658 (or 20650 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 51.

The square root of 4872480288 is about 69803.1538542493. The cubic root of 4872480288 is about 1695.3135386432.

The spelling of 4872480288 in words is "four billion, eight hundred seventy-two million, four hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 573 624 764 1146 1248 1528 2292 2483 3056 4584 4966 6112 7449 9168 9932 14898 18336 19864 20441 29796 39728 40882 59592 61323 79456 81764 119184 122646 163528 238368 245292 265733 327056 490584 531466 654112 797199 981168 1062932 1594398 1962336 2125864 3188796 3904231 4251728 6377592 7808462 8503456 11712693 12755184 15616924 23425386 25510368 31233848 46850772 50755003 62467696 93701544 101510006 124935392 152265009 187403088 203020012 304530018 374806176 406040024 609060036 812080048 1218120072 1624160096 2436240144 4872480288