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832794972 = 2232914916061
BaseRepresentation
bin110001101000110…
…111000101011100
32011001001100221020
4301220313011130
53201143414342
6214345404140
726431432452
oct6150670534
92131040836
10832794972
11398100209
121b2a99650
131036c60b9
147c8649d2
154d1a40ec
hex31a3715c

832794972 has 48 divisors (see below), whose sum is σ = 2023812000. Its totient is φ = 266210560.

The previous prime is 832794967. The next prime is 832794973. The reversal of 832794972 is 279497238.

832794972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832794973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43822 + ... + 59882.

It is an arithmetic number, because the mean of its divisors is an integer number (42162750).

Almost surely, 2832794972 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 832794972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011906000).

832794972 is an abundant number, since it is smaller than the sum of its proper divisors (1191017028).

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

832794972 is a wasteful number, since it uses less digits than its factorization.

832794972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16244 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 832794972 is about 28858.1872611569. The cubic root of 832794972 is about 940.8333382620.

The spelling of 832794972 in words is "eight hundred thirty-two million, seven hundred ninety-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 149 174 298 348 447 596 894 1788 4321 8642 12963 16061 17284 25926 32122 48183 51852 64244 96366 192732 465769 931538 1397307 1863076 2393089 2794614 4786178 5589228 7179267 9572356 14358534 28717068 69399581 138799162 208198743 277598324 416397486 832794972