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475311825 = 32523496053
BaseRepresentation
bin11100010101001…
…010111011010001
31020010101100020200
4130111022323101
51433134434300
6115055325413
714531040522
oct3425127321
91203340220
10475311825
1122433489a
12113220869
137761cb01
14471aa849
152badd200
hex1c54aed1

475311825 has 36 divisors (see below), whose sum is σ = 853916700. Its totient is φ = 252731520.

The previous prime is 475311797. The next prime is 475311841. The reversal of 475311825 is 528113574.

475311825 is a `hidden beast` number, since 47 + 531 + 1 + 82 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35319249 + 439992576 = 5943^2 + 20976^2 .

It is not a de Polignac number, because 475311825 - 28 = 475311569 is a prime.

It is a super-5 number, since 5×4753118255 (a number of 45 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 475311825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75499 + ... + 81551.

Almost surely, 2475311825 is an apocalyptic number.

475311825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

475311825 is a deficient number, since it is larger than the sum of its proper divisors (378604875).

475311825 is a wasteful number, since it uses less digits than its factorization.

475311825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6410 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 475311825 is about 21801.6473001468. The cubic root of 475311825 is about 780.4160748582.

The spelling of 475311825 in words is "four hundred seventy-five million, three hundred eleven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 349 1047 1745 3141 5235 6053 8725 15705 18159 26175 30265 54477 78525 90795 151325 272385 453975 1361925 2112497 6337491 10562485 19012473 31687455 52812425 95062365 158437275 475311825