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4475952 = 243313797
BaseRepresentation
bin10001000100110000110000
322102101212000
4101010300300
52121212302
6235534000
753021265
oct21046060
98371760
104475952
112587938
1215ba300
13c093c0
1484726c
155d631c
hex444c30

4475952 has 80 divisors (see below), whose sum is σ = 13853280. Its totient is φ = 1375488.

The previous prime is 4475893. The next prime is 4475957. The reversal of 4475952 is 2595744.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4475957) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5218 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 24475952 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 4475952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

4475952 is an abundant number, since it is smaller than the sum of its proper divisors (9377328).

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

4475952 is a wasteful number, since it uses less digits than its factorization.

4475952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 4475952 is about 2115.6445826272. The cubic root of 4475952 is about 164.8017453549.

The spelling of 4475952 in words is "four million, four hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 797 936 1404 1594 1872 2391 2808 3188 4782 5616 6376 7173 9564 10361 12752 14346 19128 20722 21519 28692 31083 38256 41444 43038 57384 62166 82888 86076 93249 114768 124332 165776 172152 186498 248664 279747 344304 372996 497328 559494 745992 1118988 1491984 2237976 4475952