Search a number
-
+
239869904 = 24297192
BaseRepresentation
bin11100100110000…
…01111111010000
3121201100122122112
432103001333100
5442401314104
635445124452
75641601111
oct1623017720
9551318575
10239869904
1111344489a
12683b9728
133a906871
1423c00208
15160d286e
hexe4c1fd0

239869904 has 30 divisors (see below), whose sum is σ = 481443330. Its totient is φ = 115638208.

The previous prime is 239869841. The next prime is 239870009. The reversal of 239869904 is 409968932.

239869904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 206784400 + 33085504 = 14380^2 + 5752^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333257 + ... + 333975.

It is an arithmetic number, because the mean of its divisors is an integer number (16048111).

Almost surely, 2239869904 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 239869904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240721665).

239869904 is an abundant number, since it is smaller than the sum of its proper divisors (241573426).

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

239869904 is an frugal number, since it uses more digits than its factorization.

239869904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 239869904 is about 15487.7339853188. The cubic root of 239869904 is about 621.3341924176.

The spelling of 239869904 in words is "two hundred thirty-nine million, eight hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 719 1438 2876 5752 11504 20851 41702 83404 166808 333616 516961 1033922 2067844 4135688 8271376 14991869 29983738 59967476 119934952 239869904