Search a number
-
+
8468460040 = 235211711501
BaseRepresentation
bin1111110001100001…
…00111001000001000
3210212011220100021011
413320300213020020
5114320411210130
63520152253304
7416566502605
oct77060471010
923764810234
108468460040
113656252407
1217840a1234
13a4c604301
145a49ad6ac
153486d352a
hex1f8c27208

8468460040 has 16 divisors (see below), whose sum is σ = 19054035180. Its totient is φ = 3387384000.

The previous prime is 8468460031. The next prime is 8468460043. The reversal of 8468460040 is 400648648.

It can be written as a sum of positive squares in 2 ways, for example, as 7641207396 + 827252644 = 87414^2 + 28762^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 211711501 = 8468460040 / (8 + 4 + 6 + 8 + 4 + 6 + 0 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 8468459975 and 8468460002.

It is not an unprimeable number, because it can be changed into a prime (8468460043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105855711 + ... + 105855790.

Almost surely, 28468460040 is an apocalyptic number.

It is an amenable number.

8468460040 is an abundant number, since it is smaller than the sum of its proper divisors (10585575140).

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

8468460040 is a wasteful number, since it uses less digits than its factorization.

8468460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211711512 (or 211711508 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 8468460040 is about 92024.2361554824. The cubic root of 8468460040 is about 2038.3002020309.

The spelling of 8468460040 in words is "eight billion, four hundred sixty-eight million, four hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 211711501 423423002 846846004 1058557505 1693692008 2117115010 4234230020 8468460040