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4099200625 = 541321972
BaseRepresentation
bin1111010001010100…
…1101011001110001
3101120200100222010101
43310111031121301
531343343410000
61514432032401
7203403426142
oct36425153161
911520328111
104099200625
11181398a113
12964992701
13504345400
142ac5b7ac9
1518ed1ce6a
hexf454d671

4099200625 has 45 divisors (see below), whose sum is σ = 5574997461. Its totient is φ = 3011736000.

The previous prime is 4099200593. The next prime is 4099200647. The reversal of 4099200625 is 5260029904.

The square root of 4099200625 is 64025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 4095104049 + 4096576 = 63993^2 + 2024^2 .

It is not a de Polignac number, because 4099200625 - 25 = 4099200593 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 (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20808027 + ... + 20808223.

Almost surely, 24099200625 is an apocalyptic number.

4099200625 is the 64025-th square number.

4099200625 is the 32013-rd centered octagonal number.

It is an amenable number.

4099200625 is a deficient number, since it is larger than the sum of its proper divisors (1475796836).

4099200625 is an frugal number, since it uses more digits than its factorization.

4099200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 4099200625 is about 1600.4166395446.

The spelling of 4099200625 in words is "four billion, ninety-nine million, two hundred thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 197 325 625 845 985 1625 2561 4225 4925 8125 12805 21125 24625 33293 38809 64025 105625 123125 166465 194045 320125 504517 832325 970225 1600625 2522585 4161625 4851125 6558721 12612925 20808125 24255625 32793605 63064625 163968025 315323125 819840125 4099200625