Search a number
-
+
32808223840 = 2557172237727
BaseRepresentation
bin11110100011100001…
…011100010001100000
310010200110110110021111
4132203201130101200
51014142401130330
623023310033104
72241006205240
oct364341342140
9103613413244
1032808223840
1112a06429187
1264374a8794
13312b111602
1418333adb20
15cc043a32a
hex7a385c460

32808223840 has 192 divisors, whose sum is σ = 94225711104. Its totient is φ = 10538016768.

The previous prime is 32808223829. The next prime is 32808223841. The reversal of 32808223840 is 4832280823.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32808223793 and 32808223802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32808223841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4242057 + ... + 4249783.

It is an arithmetic number, because the mean of its divisors is an integer number (490758912).

Almost surely, 232808223840 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 32808223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47112855552).

32808223840 is an abundant number, since it is smaller than the sum of its proper divisors (61417487264).

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

32808223840 is a wasteful number, since it uses less digits than its factorization.

32808223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 32808223840 in words is "thirty-two billion, eight hundred eight million, two hundred twenty-three thousand, eight hundred forty".