Search a number
-
+
39238992 = 24341317137
BaseRepresentation
bin1001010110101…
…1110101010000
32201211112210000
42111223311100
540021121432
63521010000
7654345252
oct225536520
981745700
1039238992
1120170921
1211183900
13818b350
1452d5cd2
1536a157c
hex256bd50

39238992 has 200 divisors, whose sum is σ = 130444776. Its totient is φ = 11280384.

The previous prime is 39238961. The next prime is 39239003. The reversal of 39238992 is 29983293.

39238992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 33593616 = 2376^2 + 5796^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 286348 + ... + 286484.

Almost surely, 239238992 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 39238992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65222388).

39238992 is an abundant number, since it is smaller than the sum of its proper divisors (91205784).

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

39238992 is a wasteful number, since it uses less digits than its factorization.

39238992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 39238992 is about 6264.1034474217. The cubic root of 39238992 is about 339.8124455779.

The spelling of 39238992 in words is "thirty-nine million, two hundred thirty-eight thousand, nine hundred ninety-two".