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239338848 = 25373111489
BaseRepresentation
bin11100100010000…
…00010101100000
3121200100200011210
432101000111200
5442232320343
635425510120
75634226620
oct1621002540
9550320153
10239338848
11113111901
12681a2340
133a77bc28
1423b02880
151602a333
hexe440560

239338848 has 96 divisors (see below), whose sum is σ = 741242880. Its totient is φ = 66170880.

The previous prime is 239338837. The next prime is 239338873. The reversal of 239338848 is 848833932.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 239338797 and 239338806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15088 + ... + 26576.

It is an arithmetic number, because the mean of its divisors is an integer number (7721280).

Almost surely, 2239338848 is an apocalyptic number.

239338848 is a gapful number since it is divisible by the number (28) 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 239338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370621440).

239338848 is an abundant number, since it is smaller than the sum of its proper divisors (501904032).

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

239338848 is a wasteful number, since it uses less digits than its factorization.

239338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540 (or 11532 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 239338848 is about 15470.5800796221. The cubic root of 239338848 is about 620.8753227680.

The spelling of 239338848 in words is "two hundred thirty-nine million, three hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 11489 20832 22978 34467 45956 68934 80423 91912 137868 160846 183824 241269 275736 321692 356159 367648 482538 551472 643384 712318 965076 1068477 1102944 1286768 1424636 1930152 2136954 2493113 2573536 2849272 3860304 4273908 4986226 5698544 7479339 7720608 8547816 9972452 11397088 14958678 17095632 19944904 29917356 34191264 39889808 59834712 79779616 119669424 239338848