Search a number
-
+
469947456 = 263211174363
BaseRepresentation
bin11100000000101…
…101010001000000
31012202021210201100
4130000231101000
51430301304311
6114344334400
714434326126
oct3400552100
91182253640
10469947456
11221300530
12111474400
1376492224
14465b1916
152b3cda56
hex1c02d440

469947456 has 168 divisors, whose sum is σ = 1556272224. Its totient is φ = 134000640.

The previous prime is 469947437. The next prime is 469947461. The reversal of 469947456 is 654749964.

It is a happy number.

It is a super-2 number, since 2×4699474562 = 441701222801743872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105531 + ... + 109893.

Almost surely, 2469947456 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 469947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778136112).

469947456 is an abundant number, since it is smaller than the sum of its proper divisors (1086324768).

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

469947456 is a wasteful number, since it uses less digits than its factorization.

469947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4396 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 469947456 is about 21678.2715178125. The cubic root of 469947456 is about 777.4690349982.

The spelling of 469947456 in words is "four hundred sixty-nine million, nine hundred forty-seven thousand, four hundred fifty-six".