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493063488 = 26326114033
BaseRepresentation
bin11101011000111…
…000110101000000
31021100210012221200
4131120320311000
52002211012423
6120532021200
715134653611
oct3530706500
91240705850
10493063488
11233359995
12119161800
137b1c6a58
14496abc08
152d447d43
hex1d638d40

493063488 has 84 divisors (see below), whose sum is σ = 1436548308. Its totient is φ = 161648640.

The previous prime is 493063451. The next prime is 493063507. The reversal of 493063488 is 884360394.

493063488 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 634 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 459330624 = 5808^2 + 21432^2 .

It is a super-2 number, since 2×4930634882 = 486223206397452288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28120 + ... + 42152.

Almost surely, 2493063488 is an apocalyptic number.

493063488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718274154).

493063488 is an abundant number, since it is smaller than the sum of its proper divisors (943484820).

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

493063488 is a wasteful number, since it uses less digits than its factorization.

493063488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14099 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 493063488 is about 22205.0329430064. The cubic root of 493063488 is about 790.0130788840.

The spelling of 493063488 in words is "four hundred ninety-three million, sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 14033 17568 28066 35136 42099 56132 84198 112264 126297 168396 224528 252594 336792 449056 505188 673584 856013 898112 1010376 1347168 1712026 2020752 2568039 2694336 3424052 4041504 5136078 6848104 7704117 8083008 10272156 13696208 15408234 20544312 27392416 30816468 41088624 54784832 61632936 82177248 123265872 164354496 246531744 493063488