Search a number
-
+
831042400 = 25521038803
BaseRepresentation
bin110001100010001…
…011001101100000
32010220202022212011
4301202023031200
53200221324100
6214244042304
726410513066
oct6142131540
92126668764
10831042400
11397113501
121b2393394
13103231486
147c52a036
154ce59bba
hex3188b360

831042400 has 36 divisors (see below), whose sum is σ = 2028784212. Its totient is φ = 332416640.

The previous prime is 831042383. The next prime is 831042403. The reversal of 831042400 is 4240138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831042403) 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, 518602 + ... + 520201.

It is an arithmetic number, because the mean of its divisors is an integer number (56355117).

Almost surely, 2831042400 is an apocalyptic number.

831042400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

831042400 is an abundant number, since it is smaller than the sum of its proper divisors (1197741812).

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

831042400 is a wasteful number, since it uses less digits than its factorization.

831042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038823 (or 1038810 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 831042400 is about 28827.8060212705. The cubic root of 831042400 is about 940.1728971237.

Adding to 831042400 its reverse (4240138), we get a palindrome (835282538).

The spelling of 831042400 in words is "eight hundred thirty-one million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1038803 2077606 4155212 5194015 8310424 10388030 16620848 20776060 25970075 33241696 41552120 51940150 83104240 103880300 166208480 207760600 415521200 831042400