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493060068 = 22337164301
BaseRepresentation
bin11101011000110…
…111111111100100
31021100210001021000
4131120313333210
52002210410233
6120531553300
715134640624
oct3530677744
91240701230
10493060068
11233357366
1211915b830
137b1c5327
14496aa884
152d446d13
hex1d637fe4

493060068 has 48 divisors (see below), whose sum is σ = 1296328320. Its totient is φ = 162036000.

The previous prime is 493060067. The next prime is 493060069. The reversal of 493060068 is 860060394.

493060068 is a `hidden beast` number, since 49 + 3 + 0 + 600 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (493060067) and next prime (493060069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (493060063) 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 15 ways as a sum of consecutive naturals, for example, 24483 + ... + 39818.

It is an arithmetic number, because the mean of its divisors is an integer number (27006840).

Almost surely, 2493060068 is an apocalyptic number.

It is an amenable number.

493060068 is an abundant number, since it is smaller than the sum of its proper divisors (803268252).

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

493060068 is a wasteful number, since it uses less digits than its factorization.

493060068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64385 (or 64377 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 493060068 is about 22204.9559333046. The cubic root of 493060068 is about 790.0112523100.

The spelling of 493060068 in words is "four hundred ninety-three million, sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 64301 128602 192903 257204 385806 578709 771612 1157418 1736127 2314836 3472254 4565371 6944508 9130742 13696113 18261484 27392226 41088339 54784452 82176678 123265017 164353356 246530034 493060068