Search a number
-
+
896138496 = 283211191861
BaseRepresentation
bin110101011010011…
…111110100000000
32022110020112220200
4311122133310000
53313402412441
6224531205200
731131023451
oct6532376400
92273215820
10896138496
1141a935130
12210146800
13113873b86
1487033128
1553a177b6
hex3569fd00

896138496 has 216 divisors, whose sum is σ = 2968623840. Its totient is φ = 257126400.

The previous prime is 896138473. The next prime is 896138521. The reversal of 896138496 is 694831698.

896138496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 480606 + ... + 482466.

Almost surely, 2896138496 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 896138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484311920).

896138496 is an abundant number, since it is smaller than the sum of its proper divisors (2072485344).

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

896138496 is a wasteful number, since it uses less digits than its factorization.

896138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1896 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 896138496 is about 29935.5724181115. The cubic root of 896138496 is about 964.1065749954.

The spelling of 896138496 in words is "eight hundred ninety-six million, one hundred thirty-eight thousand, four hundred ninety-six".