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4884880000 = 27547111361
BaseRepresentation
bin1001000110010100…
…10101101010000000
3110121102202121121111
410203022111222000
540001012130000
62124415533104
7232023536440
oct44312255200
913542677544
104884880000
112087429710
12b43b2a194
135cb052c50
14344a96120
151d8cb6cba
hex123295a80

4884880000 has 640 divisors, whose sum is σ = 16595187840. Its totient is φ = 1382400000.

The previous prime is 4884879959. The next prime is 4884880037. The reversal of 4884880000 is 884884.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×48848800002 = 47724105228800000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80079970 + ... + 80080030.

It is an arithmetic number, because the mean of its divisors is an integer number (25929981).

Almost surely, 24884880000 is an apocalyptic number.

4884880000 is a gapful number since it is divisible by the number (40) 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 4884880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297593920).

4884880000 is an abundant number, since it is smaller than the sum of its proper divisors (11710307840).

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

4884880000 is a wasteful number, since it uses less digits than its factorization.

4884880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

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

The square root of 4884880000 is about 69891.9165569238. The cubic root of 4884880000 is about 1696.7504244098.

It can be divided in two parts, 488 and 4880000, that multiplied together give a square (2381440000 = 488002).

The spelling of 4884880000 in words is "four billion, eight hundred eighty-four million, eight hundred eighty thousand".