Search a number
-
+
894200832 = 21032783167
BaseRepresentation
bin110101010011000…
…110110000000000
32022022121002221100
4311103012300000
53312403411312
6224421454400
731105403340
oct6523066000
92268532840
10894200832
11419831358
1220b571400
13113345c25
1486a8ad20
15537835dc
hex354c6c00

894200832 has 264 divisors, whose sum is σ = 3004275456. Its totient is φ = 250896384.

The previous prime is 894200821. The next prime is 894200837. The reversal of 894200832 is 238002498.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (894200837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5354413 + ... + 5354579.

Almost surely, 2894200832 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 894200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502137728).

894200832 is an abundant number, since it is smaller than the sum of its proper divisors (2110074624).

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

894200832 is a wasteful number, since it uses less digits than its factorization.

894200832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 894200832 is about 29903.1910002929. The cubic root of 894200832 is about 963.4111978611.

The spelling of 894200832 in words is "eight hundred ninety-four million, two hundred thousand, eight hundred thirty-two".