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493398090 = 23257697129
BaseRepresentation
bin11101011010001…
…010100001001010
31021101102012221100
4131122022201022
52002302214330
6120543122230
715140546253
oct3532124112
91241365840
10493398090
11233568319
121192a3376
137b2b3143
1449757b2a
152d4b2060
hex1d68a84a

493398090 has 48 divisors (see below), whose sum is σ = 1284683400. Its totient is φ = 131383296.

The previous prime is 493398067. The next prime is 493398193. The reversal of 493398090 is 90893394.

It can be written as a sum of positive squares in 4 ways, for example, as 399560121 + 93837969 = 19989^2 + 9687^2 .

It is a super-3 number, since 3×4933980903 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 65646 + ... + 72774.

Almost surely, 2493398090 is an apocalyptic number.

493398090 is an abundant number, since it is smaller than the sum of its proper divisors (791285310).

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

493398090 is a wasteful number, since it uses less digits than its factorization.

493398090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 493398090 is about 22212.5660381686. The cubic root of 493398090 is about 790.1917443026.

The spelling of 493398090 in words is "four hundred ninety-three million, three hundred ninety-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 769 1538 2307 3845 4614 6921 7129 7690 11535 13842 14258 21387 23070 34605 35645 42774 64161 69210 71290 106935 128322 213870 320805 641610 5482201 10964402 16446603 27411005 32893206 49339809 54822010 82233015 98679618 164466030 246699045 493398090