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475471872 = 213326449
BaseRepresentation
bin11100010101110…
…010000000000000
31020010200110210100
4130111302000000
51433210044442
6115103002400
714532305241
oct3425620000
91203613710
10475471872
11224434067
12113299400
1377677905
144720ccc8
152bb2084c
hex1c572000

475471872 has 84 divisors (see below), whose sum is σ = 1373714550. Its totient is φ = 158466048.

The previous prime is 475471859. The next prime is 475471883. The reversal of 475471872 is 278174574.

It can be written as a sum of positive squares in only one way, i.e., 279023616 + 196448256 = 16704^2 + 14016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70504 + ... + 76952.

Almost surely, 2475471872 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 475471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686857275).

475471872 is an abundant number, since it is smaller than the sum of its proper divisors (898242678).

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

475471872 is an equidigital number, since it uses as much as digits as its factorization.

475471872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6454 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 475471872 is about 21805.3175166059. The cubic root of 475471872 is about 780.5036589300.

The spelling of 475471872 in words is "four hundred seventy-five million, four hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 6449 8192 9216 12288 12898 18432 19347 24576 25796 36864 38694 51592 58041 73728 77388 103184 116082 154776 206368 232164 309552 412736 464328 619104 825472 928656 1238208 1650944 1857312 2476416 3301888 3714624 4952832 6603776 7429248 9905664 13207552 14858496 19811328 26415104 29716992 39622656 52830208 59433984 79245312 118867968 158490624 237735936 475471872