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471272256 = 263771337
BaseRepresentation
bin11100000101110…
…000101101000000
31012211210010000000
4130011300231000
51431121203011
6114433000000
714451514410
oct3405605500
91184703000
10471272256
11222025904
121119b3000
1376837230
1446838640
152b591356
hex1c170b40

471272256 has 448 divisors, whose sum is σ = 1772879360. Its totient is φ = 120932352.

The previous prime is 471272239. The next prime is 471272267. The reversal of 471272256 is 652272174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 471272256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12737070 + ... + 12737106.

It is an arithmetic number, because the mean of its divisors is an integer number (3957320).

Almost surely, 2471272256 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 471272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886439680).

471272256 is an abundant number, since it is smaller than the sum of its proper divisors (1301607104).

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

471272256 is an equidigital number, since it uses as much as digits as its factorization.

471272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 471272256 is about 21708.8059551879. The cubic root of 471272256 is about 778.1989212978.

The spelling of 471272256 in words is "four hundred seventy-one million, two hundred seventy-two thousand, two hundred fifty-six".