Search a number
-
+
4295032832 = 21665537
BaseRepresentation
bin1000000000000000…
…10000000000000000
3102002022212021102002
410000000100000000
532244012022312
61550105243132
7211302114416
oct40000200000
912068767362
104295032832
111904485812
129ba4934a8
13535aa065c
142ca5d32b6
151a21024c2
hex100010000

4295032832 has 34 divisors (see below), whose sum is σ = 8590131198. Its totient is φ = 2147483648.

The previous prime is 4295032831. The next prime is 4295032837. The reversal of 4295032832 is 2382305924.

It can be written as a sum of positive squares in only one way, i.e., 4294967296 + 65536 = 65536^2 + 256^2 .

It is a Leyland number of the form 164 + 416.

It is not an unprimeable number, because it can be changed into a prime (4295032831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 4295032832 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32768 + ... + 98304.

Almost surely, 24295032832 is an apocalyptic number.

It is a pronic number, being equal to 65536×65537.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4295032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295065599).

4295032832 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4295032832 is an frugal number, since it uses more digits than its factorization.

4295032832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65569 (or 65539 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 4295032832 is about 65536.4999980927. The cubic root of 4295032832 is about 1625.5069448872.

The spelling of 4295032832 in words is "four billion, two hundred ninety-five million, thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 65537 131074 262148 524296 1048592 2097184 4194368 8388736 16777472 33554944 67109888 134219776 268439552 536879104 1073758208 2147516416 4295032832