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1816890625 = 56112312
BaseRepresentation
bin110110001001011…
…1000110100000001
311200121210121101101
41230102320310001
512210111000000
6500142134401
763011213134
oct15422706401
94617717341
101816890625
11852650900
12428581401
1322c555114
1413343221b
15a9792e6a
hex6c4b8d01

1816890625 has 63 divisors (see below), whose sum is σ = 2579439639. Its totient is φ = 1278750000.

The previous prime is 1816890611. The next prime is 1816890631. The reversal of 1816890625 is 5260986181.

The square root of 1816890625 is 42625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1591770609 + 225120016 = 39897^2 + 15004^2 .

It is not a de Polignac number, because 1816890625 - 213 = 1816882433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 58609360 + ... + 58609390.

Almost surely, 21816890625 is an apocalyptic number.

1816890625 is the 42625-th square number.

1816890625 is the 21313-rd centered octagonal number.

It is an amenable number.

1816890625 is a deficient number, since it is larger than the sum of its proper divisors (762549014).

1816890625 is an frugal number, since it uses more digits than its factorization.

1816890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The cubic root of 1816890625 is about 1220.2334555030.

The spelling of 1816890625 in words is "one billion, eight hundred sixteen million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 11 25 31 55 121 125 155 275 341 605 625 775 961 1375 1705 3025 3125 3751 3875 4805 6875 8525 10571 15125 15625 18755 19375 24025 34375 42625 52855 75625 93775 96875 116281 120125 171875 213125 264275 378125 468875 484375 581405 600625 1065625 1321375 1890625 2344375 2907025 3003125 5328125 6606875 11721875 14535125 15015625 33034375 58609375 72675625 165171875 363378125 1816890625