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2984531625 = 325318114657
BaseRepresentation
bin1011000111100100…
…0101011010101001
321200222220220201100
42301321011122221
522103020003000
61212052512013
7133650046245
oct26171053251
97628826640
102984531625
1112a1765869
126b361b609
1338742995a
1420453b425
1512703aa00
hexb1e456a9

2984531625 has 48 divisors (see below), whose sum is σ = 5410209168. Its totient is φ = 1582848000.

The previous prime is 2984531621. The next prime is 2984531639. The reversal of 2984531625 is 5261354892.

2984531625 is a `hidden beast` number, since 2 + 98 + 4 + 531 + 6 + 25 = 666.

2984531625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 912825369 + 2071706256 = 30213^2 + 45516^2 .

It is not a de Polignac number, because 2984531625 - 22 = 2984531621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2984531621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196297 + ... + 210953.

It is an arithmetic number, because the mean of its divisors is an integer number (112712691).

Almost surely, 22984531625 is an apocalyptic number.

2984531625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2984531625 is a deficient number, since it is larger than the sum of its proper divisors (2425677543).

2984531625 is a wasteful number, since it uses less digits than its factorization.

2984531625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14859 (or 14846 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2984531625 is about 54630.8669618193. The cubic root of 2984531625 is about 1439.7664913611.

The spelling of 2984531625 in words is "two billion, nine hundred eighty-four million, five hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 181 225 375 543 905 1125 1629 2715 4525 8145 13575 14657 22625 40725 43971 67875 73285 131913 203625 219855 366425 659565 1099275 1832125 2652917 3297825 5496375 7958751 13264585 16489125 23876253 39793755 66322925 119381265 198968775 331614625 596906325 994843875 2984531625