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8418980025 = 345220392
BaseRepresentation
bin1111101011100111…
…10111000010111001
3210201201210111110000
413311303313002321
5114220224330100
63511223543213
7415426102161
oct76563670271
923651714400
108418980025
113630327335
12176b5bab09
13a4229b7b1
1459c1ad5a1
153441ac900
hex1f5cf70b9

8418980025 has 45 divisors (see below), whose sum is σ = 15602513311. Its totient is φ = 4487920560.

The previous prime is 8418979999. The next prime is 8418980029. The reversal of 8418980025 is 5200898148.

It is a happy number.

The square root of 8418980025 is 91755.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3030832809 + 5388147216 = 55053^2 + 73404^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 8418980025 - 27 = 8418979897 is a prime.

It is a super-2 number, since 2×84189800252 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8418980029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4127956 + ... + 4129994.

Almost surely, 28418980025 is an apocalyptic number.

8418980025 is the 91755-th square number.

8418980025 is the 45878-th centered octagonal number.

It is an amenable number.

8418980025 is a deficient number, since it is larger than the sum of its proper divisors (7183533286).

8418980025 is an frugal number, since it uses more digits than its factorization.

8418980025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The cubic root of 8418980025 is about 2034.3226117878.

The spelling of 8418980025 in words is "eight billion, four hundred eighteen million, nine hundred eighty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2039 6117 10195 18351 30585 50975 55053 91755 152925 165159 275265 458775 825795 1376325 4128975 4157521 12472563 20787605 37417689 62362815 103938025 112253067 187088445 311814075 336759201 561265335 935442225 1683796005 2806326675 8418980025