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470243466 = 232711491691
BaseRepresentation
bin11100000001110…
…101100010001010
31012202211211202200
4130001311202022
51430340242331
6114354541030
714440001130
oct3401654212
91182754680
10470243466
11221492970
12111597776
1376566b94
144664b750
152b43b5e6
hex1c07588a

470243466 has 96 divisors (see below), whose sum is σ = 1274697216. Its totient is φ = 121716000.

The previous prime is 470243461. The next prime is 470243467. The reversal of 470243466 is 664342074.

It is a super-2 number, since 2×4702434662 = 442257834631386312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 470243466.

It is not an unprimeable number, because it can be changed into a prime (470243461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680181 + ... + 680871.

It is an arithmetic number, because the mean of its divisors is an integer number (13278096).

Almost surely, 2470243466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470243466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637348608).

470243466 is an abundant number, since it is smaller than the sum of its proper divisors (804453750).

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

470243466 is a wasteful number, since it uses less digits than its factorization.

470243466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 470243466 is about 21685.0977862679. The cubic root of 470243466 is about 777.6322378578.

The spelling of 470243466 in words is "four hundred seventy million, two hundred forty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 491 691 693 982 1382 1386 1473 2073 2946 3437 4146 4419 4837 5401 6219 6874 7601 8838 9674 10311 10802 12438 14511 15202 16203 20622 22803 29022 30933 32406 37807 43533 45606 48609 53207 61866 68409 75614 87066 97218 106414 113421 136818 159621 226842 319242 339281 340263 478863 678562 680526 957726 1017843 2035686 2374967 3053529 3732091 4749934 6107058 7124901 7464182 11196273 14249802 21374703 22392546 26124637 33588819 42749406 52249274 67177638 78373911 156747822 235121733 470243466