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2814390625 = 56281641
BaseRepresentation
bin1010011111000000…
…0011000101100001
321021010202212010211
42213300003011201
521230441000000
61143134054121
7126512632324
oct24760030541
97233685124
102814390625
111214717372
1266664a341
1335b0c83c7
141c9acc7bb
1511712d7ba
hexa7c03161

2814390625 has 28 divisors (see below), whose sum is σ = 3535970364. Its totient is φ = 2240000000.

The previous prime is 2814390581. The next prime is 2814390629. The reversal of 2814390625 is 5260934182.

It can be written as a sum of positive squares in 14 ways, for example, as 2785306176 + 29084449 = 52776^2 + 5393^2 .

It is not a de Polignac number, because 2814390625 - 29 = 2814390113 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814390629) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 4390305 + ... + 4390945.

Almost surely, 22814390625 is an apocalyptic number.

2814390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2814390625 is a deficient number, since it is larger than the sum of its proper divisors (721579739).

2814390625 is an frugal number, since it uses more digits than its factorization.

2814390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2814390625 is about 53050.8305778524. The cubic root of 2814390625 is about 1411.8702651403.

It can be divided in two parts, 281 and 4390625, that multiplied together give a square (1233765625 = 351252).

The spelling of 2814390625 in words is "two billion, eight hundred fourteen million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 281 625 641 1405 3125 3205 7025 15625 16025 35125 80125 175625 180121 400625 878125 900605 2003125 4390625 4503025 10015625 22515125 112575625 562878125 2814390625