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484154964 = 223271307617
BaseRepresentation
bin11100110110111…
…001111001010100
31020202000121202100
4130312321321110
51442420424324
6120013042100
714666151336
oct3466717124
91222017670
10484154964
11229324877
12116186330
13793c7c37
144842d456
152c7884c9
hex1cdb9e54

484154964 has 72 divisors (see below), whose sum is σ = 1247133888. Its totient is φ = 158336640.

The previous prime is 484154963. The next prime is 484154999. The reversal of 484154964 is 469451484.

484154964 is a `hidden beast` number, since 4 + 8 + 41 + 549 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484154963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784384 + ... + 785000.

It is an arithmetic number, because the mean of its divisors is an integer number (17321304).

Almost surely, 2484154964 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 484154964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623566944).

484154964 is an abundant number, since it is smaller than the sum of its proper divisors (762978924).

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

484154964 is a wasteful number, since it uses less digits than its factorization.

484154964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 484154964 is about 22003.5216272305. The cubic root of 484154964 is about 785.2262260612.

The spelling of 484154964 in words is "four hundred eighty-four million, one hundred fifty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 307 426 614 617 639 852 921 1228 1234 1278 1842 1851 2468 2556 2763 3684 3702 5526 5553 7404 11052 11106 21797 22212 43594 43807 65391 87188 87614 130782 131421 175228 189419 196173 261564 262842 378838 392346 394263 525684 568257 757676 784692 788526 1136514 1577052 1704771 2273028 3409542 6819084 13448749 26897498 40346247 53794996 80692494 121038741 161384988 242077482 484154964