Search a number
-
+
46906875 = 325431269
BaseRepresentation
bin1011001011101…
…1110111111011
310021021010010200
42302323313323
544002010000
64353213243
71106462511
oct262736773
9107233120
1046906875
1124528914
1213861223
139944562
1463304b1
1541b8500
hex2cbbdfb

46906875 has 60 divisors (see below), whose sum is σ = 87721920. Its totient is φ = 24120000.

The previous prime is 46906843. The next prime is 46906879. The reversal of 46906875 is 57860964.

It is not a de Polignac number, because 46906875 - 25 = 46906843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 46906875.

It is not an unprimeable number, because it can be changed into a prime (46906879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174241 + ... + 174509.

It is an arithmetic number, because the mean of its divisors is an integer number (1462032).

Almost surely, 246906875 is an apocalyptic number.

46906875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46906875 is a deficient number, since it is larger than the sum of its proper divisors (40815045).

46906875 is a wasteful number, since it uses less digits than its factorization.

46906875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46906875 is about 6848.8593940889. The cubic root of 46906875 is about 360.6441015346.

The spelling of 46906875 in words is "forty-six million, nine hundred six thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 269 279 375 465 625 775 807 1125 1345 1395 1875 2325 2421 3875 4035 5625 6725 6975 8339 11625 12105 19375 20175 25017 33625 34875 41695 58125 60525 75051 100875 125085 168125 174375 208475 302625 375255 504375 625425 1042375 1513125 1876275 3127125 5211875 9381375 15635625 46906875