Search a number
-
+
203938992 = 24334571033
BaseRepresentation
bin11000010011111…
…01110010110000
3112012202011201000
430021331302300
5404202021432
632123042000
75024311215
oct1411756260
9465664630
10203938992
11a5133424
1258370300
133333617a
141d129b0c
1512d8657c
hexc27dcb0

203938992 has 80 divisors (see below), whose sum is σ = 587229280. Its totient is φ = 67765248.

The previous prime is 203938979. The next prime is 203938997. The reversal of 203938992 is 299839302.

203938992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2039389922 = 83182224915952128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203938997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196908 + ... + 197940.

It is an arithmetic number, because the mean of its divisors is an integer number (7340366).

Almost surely, 2203938992 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 203938992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293614640).

203938992 is an abundant number, since it is smaller than the sum of its proper divisors (383290288).

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

203938992 is a wasteful number, since it uses less digits than its factorization.

203938992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1495 counting only the distinct ones).

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

The square root of 203938992 is about 14280.7209902021. The cubic root of 203938992 is about 588.6178428671.

The spelling of 203938992 in words is "two hundred three million, nine hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 457 914 1033 1371 1828 2066 2742 3099 3656 4113 4132 5484 6198 7312 8226 8264 9297 10968 12339 12396 16452 16528 18594 21936 24678 24792 27891 32904 37188 49356 49584 55782 65808 74376 98712 111564 148752 197424 223128 446256 472081 944162 1416243 1888324 2832486 3776648 4248729 5664972 7553296 8497458 11329944 12746187 16994916 22659888 25492374 33989832 50984748 67979664 101969496 203938992