Search a number
-
+
4233369920 = 2651317311931
BaseRepresentation
bin1111110001010100…
…0001100101000000
3101221000211110210112
43330111001211000
532132220314140
61540023450452
7206623023233
oct37425014500
911830743715
104233369920
11188269952a
129a18b6a28
13526090820
142c234141a
1519b9c1c65
hexfc541940

4233369920 has 224 divisors, whose sum is σ = 11871691776. Its totient is φ = 1422950400.

The previous prime is 4233369893. The next prime is 4233369953. The reversal of 4233369920 is 299633324.

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 31 ways as a sum of consecutive naturals, for example, 2191355 + ... + 2193285.

It is an arithmetic number, because the mean of its divisors is an integer number (52998624).

Almost surely, 24233369920 is an apocalyptic number.

4233369920 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 4233369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935845888).

4233369920 is an abundant number, since it is smaller than the sum of its proper divisors (7638321856).

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

4233369920 is a wasteful number, since it uses less digits than its factorization.

4233369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 41.

The square root of 4233369920 is about 65064.3521446268. The cubic root of 4233369920 is about 1617.6903937044.

The spelling of 4233369920 in words is "four billion, two hundred thirty-three million, three hundred sixty-nine thousand, nine hundred twenty".