Search a number
-
+
459713013 = 38312831439
BaseRepresentation
bin11011011001101…
…010100111110101
31012001000211200220
4123121222213311
51420141304023
6113341124553
714251332114
oct3331524765
91161024626
10459713013
11216550211
12109b59759
137431aa46
14450a9c7b
152a55b3e3
hex1b66a9f5

459713013 has 16 divisors (see below), whose sum is σ = 621250560. Its totient is φ = 302336624.

The previous prime is 459713011. The next prime is 459713071. The reversal of 459713013 is 310317954.

It is a cyclic number.

It is not a de Polignac number, because 459713013 - 21 = 459713011 is a prime.

It is a super-2 number, since 2×4597130132 = 422672108643076338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459713011) 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, 318748 + ... + 320186.

It is an arithmetic number, because the mean of its divisors is an integer number (38828160).

Almost surely, 2459713013 is an apocalyptic number.

It is an amenable number.

459713013 is a deficient number, since it is larger than the sum of its proper divisors (161537547).

459713013 is a wasteful number, since it uses less digits than its factorization.

459713013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 459713013 is about 21440.9191267539. The cubic root of 459713013 is about 771.7836947800.

It can be divided in two parts, 45971 and 3013, that added together give a palindrome (48984).

The spelling of 459713013 in words is "four hundred fifty-nine million, seven hundred thirteen thousand, thirteen".

Divisors: 1 3 83 249 1283 1439 3849 4317 106489 119437 319467 358311 1846237 5538711 153237671 459713013