Search a number
-
+
4988208288 = 253710636983
BaseRepresentation
bin1001010010101001…
…00000010010100000
3110212122012020101010
410221110200102200
540203440131123
62142550340520
7234420033210
oct45124402240
913778166333
104988208288
11212a793798
12b7265a740
1361659064b
143546b2240
151e2dc7993
hex1295204a0

4988208288 has 96 divisors (see below), whose sum is σ = 14980847616. Its totient is φ = 1423657728.

The previous prime is 4988208257. The next prime is 4988208299. The reversal of 4988208288 is 8828028894.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710845 + ... + 717827.

It is an arithmetic number, because the mean of its divisors is an integer number (156050496).

Almost surely, 24988208288 is an apocalyptic number.

4988208288 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 4988208288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490423808).

4988208288 is an abundant number, since it is smaller than the sum of its proper divisors (9992639328).

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

4988208288 is a wasteful number, since it uses less digits than its factorization.

4988208288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 57.

The square root of 4988208288 is about 70627.2489057871. The cubic root of 4988208288 is about 1708.6306523075.

The spelling of 4988208288 in words is "four billion, nine hundred eighty-eight million, two hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1063 2126 3189 4252 6378 6983 7441 8504 12756 13966 14882 17008 20949 22323 25512 27932 29764 34016 41898 44646 48881 51024 55864 59528 83796 89292 97762 102048 111728 119056 146643 167592 178584 195524 223456 238112 293286 335184 357168 391048 586572 670368 714336 782096 1173144 1564192 2346288 4692576 7422929 14845858 22268787 29691716 44537574 51960503 59383432 89075148 103921006 118766864 155881509 178150296 207842012 237533728 311763018 356300592 415684024 623526036 712601184 831368048 1247052072 1662736096 2494104144 4988208288