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467385228 = 2236295527
BaseRepresentation
bin11011110110111…
…011101110001100
31012120110122000000
4123312323232030
51424122311403
6114213404300
714403465102
oct3366735614
91176418000
10467385228
1121a910492
12110639690
1375aa5c0b
1446105c72
152b0747a3
hex1bdbbb8c

467385228 has 84 divisors (see below), whose sum is σ = 1268841840. Its totient is φ = 150395616.

The previous prime is 467385223. The next prime is 467385239. The reversal of 467385228 is 822583764.

467385228 is a `hidden beast` number, since 46 + 7 + 385 + 228 = 666.

It is a super-2 number, since 2×4673852282 = 436897902705223968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (467385223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81801 + ... + 87327.

It is an arithmetic number, because the mean of its divisors is an integer number (15105260).

Almost surely, 2467385228 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 467385228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634420920).

467385228 is an abundant number, since it is smaller than the sum of its proper divisors (801456612).

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

467385228 is a wasteful number, since it uses less digits than its factorization.

467385228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5561 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 467385228 is about 21619.0940605752. The cubic root of 467385228 is about 776.0534978351.

The spelling of 467385228 in words is "four hundred sixty-seven million, three hundred eighty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 2349 2916 3132 4698 5527 7047 9396 11054 14094 16581 21141 22108 28188 33162 42282 49743 66324 84564 99486 149229 160283 198972 298458 320566 447687 480849 596916 641132 895374 961698 1343061 1442547 1790748 1923396 2686122 2885094 4029183 4327641 5372244 5770188 8058366 8655282 12982923 16116732 17310564 25965846 38948769 51931692 77897538 116846307 155795076 233692614 467385228