Search a number
-
+
4392938880 = 27335113191
BaseRepresentation
bin1000001011101011…
…01110110110000000
3102100011002102021000
410011311232312000
532444043021010
62003523532000
7213601235661
oct40565566600
912304072230
104392938880
111954777000
12a2722a000
13550160025
142d95db368
151aa9e17c0
hex105d6ed80

4392938880 has 512 divisors, whose sum is σ = 17202585600. Its totient is φ = 1059379200.

The previous prime is 4392938863. The next prime is 4392938881. The reversal of 4392938880 is 888392934.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4392938881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22999585 + ... + 22999775.

It is an arithmetic number, because the mean of its divisors is an integer number (33598800).

Almost surely, 24392938880 is an apocalyptic number.

4392938880 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 4392938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601292800).

4392938880 is an abundant number, since it is smaller than the sum of its proper divisors (12809646720).

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

4392938880 is a wasteful number, since it uses less digits than its factorization.

4392938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4392938880 is about 66279.2492413727. The cubic root of 4392938880 is about 1637.7655073625.

The spelling of 4392938880 in words is "four billion, three hundred ninety-two million, nine hundred thirty-eight thousand, eight hundred eighty".