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239628928 = 2771141593
BaseRepresentation
bin11100100100001…
…11001010000000
3121200220102002111
432102013022000
5442321111203
635440025104
75636545420
oct1622071200
9550812074
10239628928
1111329a840
1268302194
133a850c86
1423b7a480
151608626d
hexe487280

239628928 has 128 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 90931200.

The previous prime is 239628899. The next prime is 239628937. The reversal of 239628928 is 829826932.

239628928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 403800 + ... + 404392.

It is an arithmetic number, because the mean of its divisors is an integer number (4771305).

Almost surely, 2239628928 is an apocalyptic number.

239628928 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 239628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305363520).

239628928 is an abundant number, since it is smaller than the sum of its proper divisors (371098112).

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

239628928 is a wasteful number, since it uses less digits than its factorization.

239628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 239628928 is about 15479.9524547073. The cubic root of 239628928 is about 621.1260562670.

The spelling of 239628928 in words is "two hundred thirty-nine million, six hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 128 154 164 176 224 287 308 328 352 448 451 574 593 616 656 704 896 902 1148 1186 1232 1312 1408 1804 2296 2372 2464 2624 3157 3608 4151 4592 4744 4928 5248 6314 6523 7216 8302 9184 9488 9856 12628 13046 14432 16604 18368 18976 24313 25256 26092 28864 33208 36736 37952 45661 48626 50512 52184 57728 66416 75904 91322 97252 101024 104368 132832 170191 182644 194504 202048 208736 265664 267443 340382 365288 389008 404096 417472 531328 534886 680764 730576 778016 834944 1069772 1361528 1461152 1556032 1872101 2139544 2723056 2922304 3112064 3744202 4279088 5446112 5844608 7488404 8558176 10892224 14976808 17116352 21784448 29953616 34232704 59907232 119814464 239628928