Search a number
-
+
2988085464 = 2335721319127
BaseRepresentation
bin1011001000011010…
…1001000011011000
321201020121110200000
42302012221003120
522104422213324
61212301013000
7134022210300
oct26206510330
97636543600
102988085464
1112a3772921
126b4854160
133880a2410
14204bc4600
151274dd9c9
hexb21a90d8

2988085464 has 576 divisors, whose sum is σ = 11154124800. Its totient is φ = 740710656.

The previous prime is 2988085447. The next prime is 2988085537. The reversal of 2988085464 is 4645808892.

2988085464 is a `hidden beast` number, since 2 + 98 + 8 + 0 + 8 + 546 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2988085464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23528169 + ... + 23528295.

It is an arithmetic number, because the mean of its divisors is an integer number (19364800).

Almost surely, 22988085464 is an apocalyptic number.

2988085464 is a gapful number since it is divisible by the number (24) 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 2988085464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577062400).

2988085464 is an abundant number, since it is smaller than the sum of its proper divisors (8166039336).

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

2988085464 is a wasteful number, since it uses less digits than its factorization.

2988085464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

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

The square root of 2988085464 is about 54663.3832103356. The cubic root of 2988085464 is about 1440.3377332829.

The spelling of 2988085464 in words is "two billion, nine hundred eighty-eight million, eighty-five thousand, four hundred sixty-four".