Search a number
-
+
469276416 = 283475361
BaseRepresentation
bin11011111110001…
…001011100000000
31012201000201020000
4123332021130000
51430113321131
6114322120000
714425532550
oct3376113400
91181021200
10469276416
11220992354
121111b0000
13762b896b
1446479160
152b2e9ce6
hex1bf89700

469276416 has 360 divisors, whose sum is σ = 1656081504. Its totient is φ = 129392640.

The previous prime is 469276403. The next prime is 469276433. The reversal of 469276416 is 614672964.

It is a super-2 number, since 2×4692764162 = 440440709227610112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7693026 + ... + 7693086.

Almost surely, 2469276416 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 469276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828040752).

469276416 is an abundant number, since it is smaller than the sum of its proper divisors (1186805088).

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

469276416 is an equidigital number, since it uses as much as digits as its factorization.

469276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 469276416 is about 21662.7887401415. The cubic root of 469276416 is about 777.0988082629.

The spelling of 469276416 in words is "four hundred sixty-nine million, two hundred seventy-six thousand, four hundred sixteen".