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470704256 = 27111811847
BaseRepresentation
bin11100000011100…
…110000010000000
31012210201020211222
4130003212002000
51431000014011
6114412454212
714443630421
oct3403460200
91183636758
10470704256
11221778090
1211177a368
1376698839
144672b648
152b4ccddb
hex1c0e6080

470704256 has 64 divisors (see below), whose sum is σ = 1029188160. Its totient is φ = 212659200.

The previous prime is 470704229. The next prime is 470704259. The reversal of 470704256 is 652407074.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (470704259) 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, 253925 + ... + 255771.

It is an arithmetic number, because the mean of its divisors is an integer number (16081065).

Almost surely, 2470704256 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 470704256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514594080).

470704256 is an abundant number, since it is smaller than the sum of its proper divisors (558483904).

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

470704256 is a wasteful number, since it uses less digits than its factorization.

470704256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 470704256 is about 21695.7197622019. The cubic root of 470704256 is about 777.8861546817.

The spelling of 470704256 in words is "four hundred seventy million, seven hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 352 362 704 724 1408 1448 1847 1991 2896 3694 3982 5792 7388 7964 11584 14776 15928 20317 23168 29552 31856 40634 59104 63712 81268 118208 127424 162536 236416 254848 325072 334307 650144 668614 1300288 1337228 2600576 2674456 3677377 5348912 7354754 10697824 14709508 21395648 29419016 42791296 58838032 117676064 235352128 470704256