Search a number
-
+
2048475 = 3521113191
BaseRepresentation
bin111110100000111011011
310212001222110
413310013123
51011022400
6111523403
723261142
oct7640733
93761873
102048475
11117a060
12829563
13569520
143b4759
152a6e50
hex1f41db

2048475 has 48 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 912000.

The previous prime is 2048471. The next prime is 2048509. The reversal of 2048475 is 5748402.

It is not a de Polignac number, because 2048475 - 22 = 2048471 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2048471) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10630 + ... + 10820.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

22048475 is an apocalyptic number.

2048475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2048475 is a deficient number, since it is larger than the sum of its proper divisors (1951269).

2048475 is a wasteful number, since it uses less digits than its factorization.

2048475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2048475 is about 1431.2494541484. The cubic root of 2048475 is about 127.0019013087.

The spelling of 2048475 in words is "two million, forty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 165 191 195 275 325 429 573 715 825 955 975 2101 2145 2483 2865 3575 4775 6303 7449 10505 10725 12415 14325 27313 31515 37245 52525 62075 81939 136565 157575 186225 409695 682825 2048475