Search a number
-
+
474856512 = 263131719231
BaseRepresentation
bin11100010011011…
…011110001000000
31020002112012200020
4130103123301000
51433030402022
6115041453440
714524133214
oct3423336100
91202465606
10474856512
112240537a9
12113041280
13774c07b0
14470cc944
152ba4d35c
hex1c4dbc40

474856512 has 336 divisors, whose sum is σ = 1560771072. Its totient is φ = 126074880.

The previous prime is 474856511. The next prime is 474856517. The reversal of 474856512 is 215658474.

It is a happy number.

It is a super-2 number, since 2×4748565122 = 450977413977612288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474856511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15317937 + ... + 15317967.

It is an arithmetic number, because the mean of its divisors is an integer number (4645152).

Almost surely, 2474856512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780385536).

474856512 is an abundant number, since it is smaller than the sum of its proper divisors (1085914560).

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

474856512 is a wasteful number, since it uses less digits than its factorization.

474856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 474856512 is about 21791.2026285839. The cubic root of 474856512 is about 780.1668019339.

The spelling of 474856512 in words is "four hundred seventy-four million, eight hundred fifty-six thousand, five hundred twelve".