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475322528 = 25292571993
BaseRepresentation
bin11100010101001…
…101100010100000
31020010101212221002
4130111031202200
51433140310103
6115055451132
714531113652
oct3425154240
91203355832
10475322528
1122434193a
12113226aa8
1377624945
14471b06d2
152bae1488
hex1c54d8a0

475322528 has 48 divisors (see below), whose sum is σ = 972314280. Its totient is φ = 228458496.

The previous prime is 475322527. The next prime is 475322537. The reversal of 475322528 is 825223574.

It can be written as a sum of positive squares in 4 ways, for example, as 472975504 + 2347024 = 21748^2 + 1532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 475322491 and 475322500.

It is not an unprimeable number, because it can be changed into a prime (475322521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237500 + ... + 239492.

Almost surely, 2475322528 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 475322528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486157140).

475322528 is an abundant number, since it is smaller than the sum of its proper divisors (496991752).

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

475322528 is a wasteful number, since it uses less digits than its factorization.

475322528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2281 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 475322528 is about 21801.8927618682. The cubic root of 475322528 is about 780.4219325781.

The spelling of 475322528 in words is "four hundred seventy-five million, three hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 257 464 514 928 1028 1993 2056 3986 4112 7453 7972 8224 14906 15944 29812 31888 57797 59624 63776 115594 119248 231188 238496 462376 512201 924752 1024402 1849504 2048804 4097608 8195216 14853829 16390432 29707658 59415316 118830632 237661264 475322528