Search a number
-
+
4884865920 = 273351131829
BaseRepresentation
bin1001000110010100…
…10010001110000000
3110121102201220022000
410203022102032000
540001011202140
62124415344000
7232023450414
oct44312221600
913542656260
104884865920
11208741a080
12b43b22000
135cb04970c
14344a90d44
151d8cb2a30
hex123292380

4884865920 has 512 divisors, whose sum is σ = 19505664000. Its totient is φ = 1144627200.

The previous prime is 4884865903. The next prime is 4884866057. The reversal of 4884865920 is 295684884.

4884865920 is a `hidden beast` number, since 4 + 8 + 8 + 48 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5892066 + ... + 5892894.

It is an arithmetic number, because the mean of its divisors is an integer number (38097000).

Almost surely, 24884865920 is an apocalyptic number.

4884865920 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 4884865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752832000).

4884865920 is an abundant number, since it is smaller than the sum of its proper divisors (14620798080).

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

4884865920 is a wasteful number, since it uses less digits than its factorization.

4884865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4884865920 is about 69891.8158298953. The cubic root of 4884865920 is about 1696.7487941910.

The spelling of 4884865920 in words is "four billion, eight hundred eighty-four million, eight hundred sixty-five thousand, nine hundred twenty".