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493124190 = 235135323857
BaseRepresentation
bin11101011001000…
…111101001011110
31021100220022012220
4131121013221132
52002214433230
6120533210210
715135325566
oct3531075136
91240808186
10493124190
112333a0559
12119190966
137b218580
14496c5da6
152d45ad10
hex1d647a5e

493124190 has 64 divisors (see below), whose sum is σ = 1298638656. Its totient is φ = 119089152.

The previous prime is 493124171. The next prime is 493124213. The reversal of 493124190 is 91421394.

It is a super-2 number, since 2×4931241902 = 486342933526312200, 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8742 + ... + 32598.

It is an arithmetic number, because the mean of its divisors is an integer number (20291229).

Almost surely, 2493124190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493124190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649319328).

493124190 is an abundant number, since it is smaller than the sum of its proper divisors (805514466).

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

493124190 is a wasteful number, since it uses less digits than its factorization.

493124190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23933.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 493124190 is about 22206.3997532243. The cubic root of 493124190 is about 790.0454975666.

The spelling of 493124190 in words is "four hundred ninety-three million, one hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 10335 20670 23857 47714 71571 119285 143142 238570 310141 357855 620282 715710 930423 1264421 1550705 1860846 2528842 3101410 3793263 4652115 6322105 7586526 9304230 12644210 16437473 18966315 32874946 37932630 49312419 82187365 98624838 164374730 246562095 493124190