Search a number
-
+
28098140625 = 34561492
BaseRepresentation
bin11010001010110001…
…111001100111010001
32200112012121102210000
4122022301321213101
5430021111000000
620524052400213
72013204153222
oct321261714721
980465542700
1028098140625
1110a09738a25
125542016069
13285a360119
141507a19249
15ae6ba0000
hex68ac799d1

28098140625 has 105 divisors (see below), whose sum is σ = 52821023101. Its totient is φ = 14885100000.

The previous prime is 28098140599. The next prime is 28098140639. The reversal of 28098140625 is 52604189082.

The square root of 28098140625 is 167625.

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

28098140625 is a `hidden beast` number, since 2 + 8 + 0 + 9 + 8 + 14 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 11912194449 + 16185946176 = 109143^2 + 127224^2 .

It is not a de Polignac number, because 28098140625 - 25 = 28098140593 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 188578051 + ... + 188578199.

Almost surely, 228098140625 is an apocalyptic number.

28098140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28098140625 is the 167625-th square number.

28098140625 is the 83813-rd centered octagonal number.

It is an amenable number.

28098140625 is a deficient number, since it is larger than the sum of its proper divisors (24722882476).

28098140625 is an frugal number, since it uses more digits than its factorization.

28098140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28098140625 in words is "twenty-eight billion, ninety-eight million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 149 225 375 405 447 625 675 745 1125 1341 1875 2025 2235 3125 3375 3725 4023 5625 6705 9375 10125 11175 12069 15625 16875 18625 20115 22201 28125 33525 46875 50625 55875 60345 66603 84375 93125 100575 111005 140625 167625 199809 253125 279375 301725 333015 421875 465625 502875 555025 599427 838125 999045 1265625 1396875 1508625 1665075 1798281 2328125 2514375 2775125 2997135 4190625 4995225 6984375 7543125 8325375 8991405 12571875 13875625 14985675 20953125 24976125 37715625 41626875 44957025 62859375 69378125 74928375 124880625 188578125 208134375 224785125 346890625 374641875 624403125 1040671875 1123925625 1873209375 3122015625 5619628125 9366046875 28098140625