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4473225 = 3452472
BaseRepresentation
bin10001000100000110001001
322102021010000
4101010012021
52121120400
6235513213
753010321
oct21040611
98367100
104473225
112585889
1215b8809
13c080a3
14846281
155d5600
hex444189

4473225 has 45 divisors (see below), whose sum is σ = 8466007. Its totient is φ = 2334960.

The previous prime is 4473211. The next prime is 4473241. The reversal of 4473225 is 5223744.

The square root of 4473225 is 2115.

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

It can be written as a sum of positive squares in only one way, i.e., 1610361 + 2862864 = 1269^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 4473225 - 27 = 4473097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 42 + 47 + 73 + 32 + 218 + 222 + 52 .

It is a Duffinian number.

4473225 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95152 + ... + 95198.

Almost surely, 24473225 is an apocalyptic number.

4473225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4473225 is the 2115-th square number.

4473225 is the 1058-th centered octagonal number.

It is an amenable number.

4473225 is a deficient number, since it is larger than the sum of its proper divisors (3992782).

4473225 is an equidigital number, since it uses as much as digits as its factorization.

4473225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 55 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The cubic root of 4473225 is about 164.7682697457.

Adding to 4473225 its reverse (5223744), we get a palindrome (9696969).

The spelling of 4473225 in words is "four million, four hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 75 81 135 141 225 235 405 423 675 705 1175 1269 2025 2115 2209 3525 3807 6345 6627 10575 11045 19035 19881 31725 33135 55225 59643 95175 99405 165675 178929 298215 497025 894645 1491075 4473225