Search a number
-
+
38690572256 = 2572931229839
BaseRepresentation
bin100100000010001000…
…110100011111100000
310200212102010201022122
4210002020310133200
51113214241303011
625435121123412
72536534303130
oct440210643740
9120772121278
1038690572256
1115454901656
1275b9489568
1338579c634b
141c30714ac0
151016a833db
hex9022347e0

38690572256 has 192 divisors, whose sum is σ = 93477888000. Its totient is φ = 15407400960.

The previous prime is 38690572253. The next prime is 38690572267. The reversal of 38690572256 is 65227509683.

It is a junction number, because it is equal to n+sod(n) for n = 38690572198 and 38690572207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38690572253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46114685 + ... + 46115523.

It is an arithmetic number, because the mean of its divisors is an integer number (486864000).

Almost surely, 238690572256 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 38690572256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46738944000).

38690572256 is an abundant number, since it is smaller than the sum of its proper divisors (54787315744).

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

38690572256 is a wasteful number, since it uses less digits than its factorization.

38690572256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 38690572256 in words is "thirty-eight billion, six hundred ninety million, five hundred seventy-two thousand, two hundred fifty-six".