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4884800080 = 245241253361
BaseRepresentation
bin1001000110010100…
…00010001001010000
3110121102121112222111
410203022002021100
540001002100310
62124414115104
7232023054436
oct44312021120
913542545874
104884800080
112087384666
12b43aaba94
135cb025764
14344a74d56
151d8c9d28a
hex123282250

4884800080 has 40 divisors (see below), whose sum is σ = 11404330344. Its totient is φ = 1945804800.

The previous prime is 4884800069. The next prime is 4884800087. The reversal of 4884800080 is 800084884.

It can be written as a sum of positive squares in 4 ways, for example, as 436977216 + 4447822864 = 20904^2 + 66692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×48848000802 = 47722543643136012800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4884800087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107401 + ... + 145960.

Almost surely, 24884800080 is an apocalyptic number.

4884800080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4884800080 is an abundant number, since it is smaller than the sum of its proper divisors (6519530264).

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

4884800080 is a wasteful number, since it uses less digits than its factorization.

4884800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253615 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 4884800080 is about 69891.3448146478. The cubic root of 4884800080 is about 1696.7411710243.

The spelling of 4884800080 in words is "four billion, eight hundred eighty-four million, eight hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 253361 506722 1013444 1266805 2026888 2533610 4053776 5067220 10134440 20268880 61060001 122120002 244240004 305300005 488480008 610600010 976960016 1221200020 2442400040 4884800080