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239868768 = 25319131507
BaseRepresentation
bin11100100110000…
…01101101100000
3121201100121002110
432103001231200
5442401300033
635445115320
75641564566
oct1623015540
9551317073
10239868768
11113443a57
12683b8b40
133a9061a9
1423bdda36
15160d2363
hexe4c1b60

239868768 has 48 divisors (see below), whose sum is σ = 662800320. Its totient is φ = 75747456.

The previous prime is 239868767. The next prime is 239868781. The reversal of 239868768 is 867868932.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239868763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63930 + ... + 67577.

It is an arithmetic number, because the mean of its divisors is an integer number (13808340).

Almost surely, 2239868768 is an apocalyptic number.

It is an amenable number.

239868768 is an abundant number, since it is smaller than the sum of its proper divisors (422931552).

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

239868768 is a wasteful number, since it uses less digits than its factorization.

239868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131539 (or 131531 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 239868768 is about 15487.6973110918. The cubic root of 239868768 is about 621.3332115571. Note that the first 3 decimals are identical.

The spelling of 239868768 in words is "two hundred thirty-nine million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 131507 263014 394521 526028 789042 1052056 1578084 2104112 2498633 3156168 4208224 4997266 6312336 7495899 9994532 12624672 14991798 19989064 29983596 39978128 59967192 79956256 119934384 239868768