Search a number
-
+
296928 = 25321031
BaseRepresentation
bin1001000011111100000
3120002022100
41020133200
534000203
610210400
72344452
oct1103740
9502270
10296928
111930a5
12123a00
13a51c8
147a2d2
155cea3
hex487e0

296928 has 36 divisors (see below), whose sum is σ = 845208. Its totient is φ = 98880.

The previous prime is 296921. The next prime is 296929. The reversal of 296928 is 829692.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 296892 and 296901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2296928 is an apocalyptic number.

It is an amenable number.

296928 is an abundant number, since it is smaller than the sum of its proper divisors (548280).

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

296928 is a wasteful number, since it uses less digits than its factorization.

296928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 296928 is about 544.9110019077. The cubic root of 296928 is about 66.7140108145.

The spelling of 296928 in words is "two hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1031 2062 3093 4124 6186 8248 9279 12372 16496 18558 24744 32992 37116 49488 74232 98976 148464 296928