Search a number
-
+
469794816 = 2153559
BaseRepresentation
bin11100000000001…
…000000000000000
31012202000001100000
4130000020000000
51430231413231
6114341200000
714433122121
oct3400100000
91182001300
10469794816
11221206887
12111400000
137643a8ca
1446572048
152b39d6e6
hex1c008000

469794816 has 192 divisors, whose sum is σ = 1431284400. Its totient is φ = 153944064.

The previous prime is 469794799. The next prime is 469794839. The reversal of 469794816 is 618497964.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2612736) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962595 + ... + 7962653.

Almost surely, 2469794816 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 469794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715642200).

469794816 is an abundant number, since it is smaller than the sum of its proper divisors (961489584).

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

469794816 is an frugal number, since it uses more digits than its factorization.

469794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 469794816 is about 21674.7506560052. The cubic root of 469794816 is about 777.3848513143.

It can be divided in two parts, 4697948 and 16, that added together give a palindrome (4697964).

The spelling of 469794816 in words is "four hundred sixty-nine million, seven hundred ninety-four thousand, eight hundred sixteen".