Search a number
-
+
463713601 = 131915112433
BaseRepresentation
bin11011101000111…
…011010101000001
31012022120002110211
4123220323111001
51422202313401
6114002554121
714330333461
oct3350732501
91168502424
10463713601
1121883298a
1210b368941
13750bb960
144582bba1
152aa9b951
hex1ba3b541

463713601 has 16 divisors (see below), whose sum is σ = 529191040. Its totient is φ = 402796800.

The previous prime is 463713587. The next prime is 463713611. The reversal of 463713601 is 106317364.

It is a 5-Lehmer number, since φ(463713601) divides (463713601-1)5.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-463713601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (463713611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31081 + ... + 43513.

It is an arithmetic number, because the mean of its divisors is an integer number (33074440).

Almost surely, 2463713601 is an apocalyptic number.

463713601 is the 12433-rd octagonal number.

It is an amenable number.

463713601 is a deficient number, since it is larger than the sum of its proper divisors (65477439).

463713601 is a wasteful number, since it uses less digits than its factorization.

463713601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 463713601 is about 21534.0103324950. The cubic root of 463713601 is about 774.0160115493.

The spelling of 463713601 in words is "four hundred sixty-three million, seven hundred thirteen thousand, six hundred one".

Divisors: 1 13 19 151 247 1963 2869 12433 37297 161629 236227 1877383 3070951 24405979 35670277 463713601