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493206028 = 2271967101137
BaseRepresentation
bin11101011001011…
…011101000001100
31021101001110110221
4131121123220030
52002230043103
6120535041124
715136116310
oct3531335014
91241043427
10493206028
11233446a97
121192101a4
137b2468b3
1449707b40
152d4751bd
hex1d65ba0c

493206028 has 96 divisors (see below), whose sum is σ = 1072028160. Its totient is φ = 193881600.

The previous prime is 493206019. The next prime is 493206037. The reversal of 493206028 is 820602394.

It is an interprime number because it is at equal distance from previous prime (493206019) and next prime (493206037).

It is a super-3 number, since 3×4932060283 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 493205984 and 493206002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3599976 + ... + 3600112.

It is an arithmetic number, because the mean of its divisors is an integer number (11166960).

Almost surely, 2493206028 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 493206028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536014080).

493206028 is an abundant number, since it is smaller than the sum of its proper divisors (578822132).

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

493206028 is a wasteful number, since it uses less digits than its factorization.

493206028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 493206028 is about 22208.2423437786. The cubic root of 493206028 is about 790.0891999904.

The spelling of 493206028 in words is "four hundred ninety-three million, two hundred six thousand, twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 67 76 101 133 134 137 202 266 268 274 404 469 532 548 707 938 959 1273 1414 1876 1918 1919 2546 2603 2828 3836 3838 5092 5206 6767 7676 8911 9179 10412 13433 13534 13837 17822 18221 18358 26866 27068 27674 35644 36442 36716 47369 53732 55348 64253 72884 94738 96859 128506 128573 174401 189476 193718 257012 257146 262903 348802 387436 514292 525806 697604 900011 927079 1051612 1220807 1800022 1840321 1854158 2441614 3600044 3680642 3708316 4883228 6489553 7361284 12979106 17614501 25958212 35229002 70458004 123301507 246603014 493206028