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493768590 = 23572335897
BaseRepresentation
bin11101011011100…
…100111110001110
31021102010001011120
4131123210332032
52002401043330
6120555101410
715143651400
oct3533447616
91242101146
10493768590
112337a0717
12119441866
137b3b2983
1449812b70
152d536c10
hex1d6e4f8e

493768590 has 48 divisors (see below), whose sum is σ = 1378525392. Its totient is φ = 112861056.

The previous prime is 493768537. The next prime is 493768603. The reversal of 493768590 is 95867394.

It is a super-3 number, since 3×4937685903 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166479 + ... + 169418.

It is an arithmetic number, because the mean of its divisors is an integer number (28719279).

Almost surely, 2493768590 is an apocalyptic number.

493768590 is an abundant number, since it is smaller than the sum of its proper divisors (884756802).

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

493768590 is a wasteful number, since it uses less digits than its factorization.

493768590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335921 (or 335914 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 493768590 is about 22220.9043470332. The cubic root of 493768590 is about 790.3894837460.

The spelling of 493768590 in words is "four hundred ninety-three million, seven hundred sixty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 335897 671794 1007691 1679485 2015382 2351279 3358970 4702558 5038455 7053837 10076910 11756395 14107674 16458953 23512790 32917906 35269185 49376859 70538370 82294765 98753718 164589530 246884295 493768590