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466970256 = 243210730307
BaseRepresentation
bin11011110101010…
…110011010010000
31012112200112202200
4123311112122100
51424021022011
6114200443200
714400116214
oct3365263220
91175615680
10466970256
1121a657735
12110479500
137598c07c
1446038944
152aee1856
hex1bd56690

466970256 has 60 divisors (see below), whose sum is σ = 1319125392. Its totient is φ = 154196928.

The previous prime is 466970249. The next prime is 466970261. The reversal of 466970256 is 652079664.

It is a super-2 number, since 2×4669702562 = 436122439977411072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255 + ... + 30561.

Almost surely, 2466970256 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 466970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659562696).

466970256 is an abundant number, since it is smaller than the sum of its proper divisors (852155136).

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

466970256 is a wasteful number, since it uses less digits than its factorization.

466970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30428 (or 30419 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 466970256 is about 21609.4945799294. The cubic root of 466970256 is about 775.8237545679.

The spelling of 466970256 in words is "four hundred sixty-six million, nine hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 30307 60614 90921 121228 181842 242456 272763 363684 484912 545526 727368 1091052 1454736 2182104 3242849 4364208 6485698 9728547 12971396 19457094 25942792 29185641 38914188 51885584 58371282 77828376 116742564 155656752 233485128 466970256