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4812890625 = 3258372
BaseRepresentation
bin1000111101101111…
…01110001000000001
3110102102022011202100
410132313232020001
534324100000000
62113324541013
7230160616044
oct43667561001
913372264670
104812890625
11204a829a64
12b239b1769
135b9168a9a
143392b6c5b
151d27e6a00
hex11edee201

4812890625 has 81 divisors (see below), whose sum is σ = 8931147771. Its totient is φ = 2497500000.

The previous prime is 4812890617. The next prime is 4812890629. The reversal of 4812890625 is 5260982184.

The square root of 4812890625 is 69375.

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

4812890625 is a `hidden beast` number, since 4 + 8 + 12 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1869611121 + 2943279504 = 43239^2 + 54252^2 .

It is not a de Polignac number, because 4812890625 - 23 = 4812890617 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4812890629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 130078107 + ... + 130078143.

Almost surely, 24812890625 is an apocalyptic number.

4812890625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4812890625 is the 69375-th square number.

4812890625 is the 34688-th centered octagonal number.

It is an amenable number.

4812890625 is a deficient number, since it is larger than the sum of its proper divisors (4118257146).

4812890625 is an frugal number, since it uses more digits than its factorization.

4812890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 45 counting only the distinct ones).

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

The cubic root of 4812890625 is about 1688.3740328173.

The spelling of 4812890625 in words is "four billion, eight hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 185 225 333 375 555 625 925 1125 1369 1665 1875 2775 3125 4107 4625 5625 6845 8325 9375 12321 13875 15625 20535 23125 28125 34225 41625 46875 61605 69375 78125 102675 115625 140625 171125 208125 234375 308025 346875 390625 513375 578125 703125 855625 1040625 1171875 1540125 1734375 2566875 2890625 3515625 4278125 5203125 7700625 8671875 12834375 14453125 21390625 26015625 38503125 43359375 64171875 106953125 130078125 192515625 320859375 534765625 962578125 1604296875 4812890625