Search a number
-
+
501417468 = 223213928263
BaseRepresentation
bin11101111000110…
…000010111111100
31021221111122110100
4131320300113330
52011330324333
6121431041100
715265656336
oct3570602774
91257448410
10501417468
11238045402
1211bb10190
137cb60336
144a844456
152e048213
hex1de305fc

501417468 has 18 divisors (see below), whose sum is σ = 1267472024. Its totient is φ = 167139144.

The previous prime is 501417461. The next prime is 501417473. The reversal of 501417468 is 864714105.

It is a happy number.

501417468 is a `hidden beast` number, since 50 + 141 + 7 + 468 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13928263 = 501417468 / (5 + 0 + 1 + 4 + 1 + 7 + 4 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501417461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6964096 + ... + 6964167.

Almost surely, 2501417468 is an apocalyptic number.

It is an amenable number.

501417468 is an abundant number, since it is smaller than the sum of its proper divisors (766054556).

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

501417468 is a wasteful number, since it uses less digits than its factorization.

501417468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928273 (or 13928268 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 501417468 is about 22392.3528911099. The cubic root of 501417468 is about 794.4498484006.

The spelling of 501417468 in words is "five hundred one million, four hundred seventeen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 13928263 27856526 41784789 55713052 83569578 125354367 167139156 250708734 501417468