Search a number
-
+
803497968 = 2436713757
BaseRepresentation
bin101111111001000…
…110011111110000
32001222220221000000
4233321012133300
53121143413333
6211421430000
725624422450
oct5771063760
92058827000
10803497968
1138260aa09
121a510b300
13ca6090b0
14789d9d60
154a818713
hex2fe467f0

803497968 has 280 divisors, whose sum is σ = 2876531168. Its totient is φ = 211631616.

The previous prime is 803497943. The next prime is 803497997. The reversal of 803497968 is 869794308.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1061046 + ... + 1061802.

Almost surely, 2803497968 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 803497968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438265584).

803497968 is an abundant number, since it is smaller than the sum of its proper divisors (2073033200).

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

803497968 is a wasteful number, since it uses less digits than its factorization.

803497968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 803497968 is about 28346.0397233899. The cubic root of 803497968 is about 929.6688102712.

The spelling of 803497968 in words is "eight hundred three million, four hundred ninety-seven thousand, nine hundred sixty-eight".