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450472125 = 3534183353
BaseRepresentation
bin11010110110011…
…010100010111101
31011101122100120210
4122312122202331
51410310102000
6112411103033
714106643545
oct3266324275
91141570523
10450472125
11211309414
12106a41a79
137243386c
1443b82325
1529833350
hex1ad9a8bd

450472125 has 64 divisors (see below), whose sum is σ = 779321088. Its totient is φ = 230912000.

The previous prime is 450472117. The next prime is 450472153. The reversal of 450472125 is 521274054.

It is not a de Polignac number, because 450472125 - 23 = 450472117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 450472092 and 450472101.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 1275949 + ... + 1276301.

It is an arithmetic number, because the mean of its divisors is an integer number (12176892).

Almost surely, 2450472125 is an apocalyptic number.

It is an amenable number.

450472125 is a deficient number, since it is larger than the sum of its proper divisors (328848963).

450472125 is a wasteful number, since it uses less digits than its factorization.

450472125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 450472125 is about 21224.3286112895. The cubic root of 450472125 is about 766.5773341618.

The spelling of 450472125 in words is "four hundred fifty million, four hundred seventy-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 83 123 125 205 249 353 375 415 615 1025 1059 1245 1765 2075 3075 3403 5125 5295 6225 8825 10209 10375 14473 15375 17015 26475 29299 31125 43419 44125 51045 72365 85075 87897 132375 146495 217095 255225 361825 425375 439485 732475 1085475 1201259 1276125 1809125 2197425 3603777 3662375 5427375 6006295 10987125 18018885 30031475 90094425 150157375 450472125