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493605047 = 131719223269
BaseRepresentation
bin11101011010111…
…101000010110111
31021101210201211102
4131122331002313
52002330330142
6120551400315
715142400525
oct3532750267
91241721742
10493605047
11233699861
1211938309b
137b3563c0
14497ad315
152d503532
hex1d6bd0b7

493605047 has 48 divisors (see below), whose sum is σ = 622157760. Its totient is φ = 387154944.

The previous prime is 493605043. The next prime is 493605089. The reversal of 493605047 is 740506394.

It is not a de Polignac number, because 493605047 - 22 = 493605043 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 493605047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493605043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1834829 + ... + 1835097.

It is an arithmetic number, because the mean of its divisors is an integer number (12961620).

Almost surely, 2493605047 is an apocalyptic number.

493605047 is a deficient number, since it is larger than the sum of its proper divisors (128552713).

493605047 is a wasteful number, since it uses less digits than its factorization.

493605047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 493605047 is about 22217.2241065350. The cubic root of 493605047 is about 790.3022114598.

The spelling of 493605047 in words is "four hundred ninety-three million, six hundred five thousand, forty-seven".

Divisors: 1 13 17 19 23 221 247 269 299 323 361 391 437 3497 4199 4573 4693 5083 5111 5681 6137 6187 7429 8303 59449 66443 79781 80431 86887 96577 97109 105179 107939 117553 141151 1129531 1262417 1367327 1528189 1650853 1834963 1998401 2233507 21461089 25979213 29035591 37969619 493605047