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4473872 = 2413137157
BaseRepresentation
bin10001000100010000010000
322102021222222
4101010100100
52121130442
6235520212
753012234
oct21042020
98367888
104473872
112586317
1215b9068
13c08480
148465c4
155d58d2
hex444410

4473872 has 40 divisors (see below), whose sum is σ = 9462936. Its totient is φ = 2036736.

The previous prime is 4473869. The next prime is 4473877. The reversal of 4473872 is 2783744.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 4393216 = 284^2 + 2096^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4473877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28418 + ... + 28574.

Almost surely, 24473872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4473872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731468).

4473872 is an abundant number, since it is smaller than the sum of its proper divisors (4989064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4473872 is a wasteful number, since it uses less digits than its factorization.

4473872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 4473872 is about 2115.1529495523. The cubic root of 4473872 is about 164.7762133011.

The spelling of 4473872 in words is "four million, four hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 157 208 274 314 548 628 1096 1256 1781 2041 2192 2512 3562 4082 7124 8164 14248 16328 21509 28496 32656 43018 86036 172072 279617 344144 559234 1118468 2236936 4473872