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2090775625 = 54312592
BaseRepresentation
bin111110010011110…
…1011010001001001
312101201011101222021
41330213223101021
513240214310000
6543244324441
7102545204521
oct17447532111
95351141867
102090775625
11983208744
124a4243721
1327420b353
1415b968681
15c384411a
hex7c9eb449

2090775625 has 45 divisors (see below), whose sum is σ = 2746162353. Its totient is φ = 1591230000.

The previous prime is 2090775623. The next prime is 2090775653. The reversal of 2090775625 is 5265770902.

The square root of 2090775625 is 45725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 163916809 + 1926858816 = 12803^2 + 43896^2 .

It is not a de Polignac number, because 2090775625 - 21 = 2090775623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2090775623) by changing a digit.

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, 35436846 + ... + 35436904.

Almost surely, 22090775625 is an apocalyptic number.

2090775625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2090775625 is the 45725-th square number.

2090775625 is the 22863-rd centered octagonal number.

It is an amenable number.

2090775625 is a deficient number, since it is larger than the sum of its proper divisors (655386728).

2090775625 is an frugal number, since it uses more digits than its factorization.

2090775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The cubic root of 2090775625 is about 1278.7014061730.

The spelling of 2090775625 in words is "two billion, ninety million, seven hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 25 31 59 125 155 295 625 775 961 1475 1829 3481 3875 4805 7375 9145 17405 19375 24025 36875 45725 56699 87025 107911 120125 228625 283495 435125 539555 600625 1143125 1417475 2175625 2697775 3345241 7087375 13488875 16726205 35436875 67444375 83631025 418155125 2090775625