Search a number
-
+
4192034080 = 25513171031151
BaseRepresentation
bin1111100111011101…
…0101110100100000
3101211011001101200111
43321313111310200
532041130042310
61531545501104
7205611462463
oct37167256440
911734041614
104192034080
111861326283
1298baa1794
1351a649c50
142baa612da
1519805928a
hexf9dd5d20

4192034080 has 192 divisors, whose sum is σ = 11412430848. Its totient is φ = 1441382400.

The previous prime is 4192034039. The next prime is 4192034089. The reversal of 4192034080 is 804302914.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4192034089) 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, 3641505 + ... + 3642655.

It is an arithmetic number, because the mean of its divisors is an integer number (59439744).

Almost surely, 24192034080 is an apocalyptic number.

4192034080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706215424).

4192034080 is an abundant number, since it is smaller than the sum of its proper divisors (7220396768).

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

4192034080 is a wasteful number, since it uses less digits than its factorization.

4192034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4192034080 is about 64745.9194080986. The cubic root of 4192034080 is about 1612.4079652617.

Adding to 4192034080 its reverse (804302914), we get a palindrome (4996336994).

The spelling of 4192034080 in words is "four billion, one hundred ninety-two million, thirty-four thousand, eighty".