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493136238 = 237172330029
BaseRepresentation
bin11101011001001…
…010100101101110
31021100220220202010
4131121022211232
52002220324423
6120533342050
715135405660
oct3531124556
91240826663
10493136238
112333a9611
12119197926
137b220bba
14496ca530
152d45e693
hex1d64a96e

493136238 has 64 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 126838272.

The previous prime is 493136197. The next prime is 493136239. The reversal of 493136238 is 832631394.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 493136196 and 493136205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493136239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408 + ... + 31436.

It is an arithmetic number, because the mean of its divisors is an integer number (19459440).

Almost surely, 2493136238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493136238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

493136238 is an abundant number, since it is smaller than the sum of its proper divisors (752267922).

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

493136238 is a wasteful number, since it uses less digits than its factorization.

493136238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30081.

The product of its digits is 93312, while the sum is 39.

The square root of 493136238 is about 22206.6710247169. The cubic root of 493136238 is about 790.0519316393.

The spelling of 493136238 in words is "four hundred ninety-three million, one hundred thirty-six thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 2346 2737 5474 8211 16422 30029 60058 90087 180174 210203 420406 510493 630609 690667 1020986 1261218 1381334 1531479 2072001 3062958 3573451 4144002 4834669 7146902 9669338 10720353 11741339 14504007 21440706 23482678 29008014 35224017 70448034 82189373 164378746 246568119 493136238