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470260288 = 262928737
BaseRepresentation
bin11100000001111…
…001101001000000
31012202212200211201
4130001321221000
51430341312123
6114355150544
714440101151
oct3401715100
91182780751
10470260288
112214a4573
121115a5454
1376571734
1446653928
152b4415ad
hex1c079a40

470260288 has 42 divisors (see below), whose sum is σ = 966571346. Its totient is φ = 226996224.

The previous prime is 470260261. The next prime is 470260289. The reversal of 470260288 is 882062074.

It can be written as a sum of positive squares in 3 ways, for example, as 57032704 + 413227584 = 7552^2 + 20328^2 .

It is a super-2 number, since 2×4702602882 = 442289476939685888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470260289) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 49456 + ... + 58192.

Almost surely, 2470260288 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 470260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483285673).

470260288 is an abundant number, since it is smaller than the sum of its proper divisors (496311058).

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

470260288 is an equidigital number, since it uses as much as digits as its factorization.

470260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 470260288 is about 21685.4856528508. The cubic root of 470260288 is about 777.6415104825.

The spelling of 470260288 in words is "four hundred seventy million, two hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 6728 8737 13456 17474 26912 34948 53824 69896 139792 253373 279584 506746 559168 1013492 2026984 4053968 7347817 8107936 14695634 16215872 29391268 58782536 117565072 235130144 470260288