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475306112 = 27412472
BaseRepresentation
bin11100010101001…
…001100010000000
31020010101001102002
4130111021202000
51433134243422
6115055243132
714531015051
oct3425114200
91203331362
10475306112
11224330576
121132194a8
137761a328
14471a8728
152badb692
hex1c549880

475306112 has 72 divisors (see below), whose sum is σ = 991646805. Its totient is φ = 226923520.

The previous prime is 475306103. The next prime is 475306157. The reversal of 475306112 is 211603574.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 339443776 + 135862336 = 18424^2 + 11656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15416.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10112873 + ... + 10112919.

Almost surely, 2475306112 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 475306112

475306112 is an abundant number, since it is smaller than the sum of its proper divisors (516340693).

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

475306112 is an frugal number, since it uses more digits than its factorization.

475306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 475306112 is about 21801.5162775436. The cubic root of 475306112 is about 780.4129481144.

Adding to 475306112 its reverse (211603574), we get a palindrome (686909686).

It can be divided in two parts, 47 and 5306112, that multiplied together give a square (249387264 = 157922).

The spelling of 475306112 in words is "four hundred seventy-five million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 128 164 188 328 376 656 752 1312 1504 1681 1927 2209 2624 3008 3362 3854 4418 5248 6016 6724 7708 8836 13448 15416 17672 26896 30832 35344 53792 61664 70688 79007 90569 107584 123328 141376 158014 181138 215168 246656 282752 316028 362276 632056 724552 1264112 1449104 2528224 2898208 3713329 5056448 5796416 7426658 10112896 11592832 14853316 29706632 59413264 118826528 237653056 475306112