Search a number
-
+
239928984 = 23324770901
BaseRepresentation
bin11100100110100…
…00011010011000
3121201110122200200
432103100122120
5442410211414
635450302200
75642235261
oct1623203230
9551418620
10239928984
11113485219
1268427960
133a927719
1423c17968
15160e5109
hexe4d0698

239928984 has 48 divisors (see below), whose sum is σ = 663642720. Its totient is φ = 78273600.

The previous prime is 239928971. The next prime is 239929003. The reversal of 239928984 is 489829932.

It is a happy number.

239928984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 239928984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32067 + ... + 38834.

It is an arithmetic number, because the mean of its divisors is an integer number (13825890).

Almost surely, 2239928984 is an apocalyptic number.

239928984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239928984 is an abundant number, since it is smaller than the sum of its proper divisors (423713736).

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

239928984 is a wasteful number, since it uses less digits than its factorization.

239928984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70960 (or 70953 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 239928984 is about 15489.6411837073. The cubic root of 239928984 is about 621.3851998041.

The spelling of 239928984 in words is "two hundred thirty-nine million, nine hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 70901 141802 212703 283604 425406 567208 638109 850812 1276218 1701624 2552436 3332347 5104872 6664694 9997041 13329388 19994082 26658776 29991123 39988164 59982246 79976328 119964492 239928984