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52259328 = 2932111031
BaseRepresentation
bin1100011101011…
…0101000000000
310122100001022200
43013112220000
5101334244303
65104033200
71203124362
oct307265000
9118301280
1052259328
1127554230
1215602800
13aa998a4
146d24d32
1548c43a3
hex31d6a00

52259328 has 120 divisors (see below), whose sum is σ = 164694816. Its totient is φ = 15820800.

The previous prime is 52259327. The next prime is 52259341. The reversal of 52259328 is 82395225.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52259292 and 52259301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52259323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50173 + ... + 51203.

Almost surely, 252259328 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 52259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82347408).

52259328 is an abundant number, since it is smaller than the sum of its proper divisors (112435488).

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

52259328 is a wasteful number, since it uses less digits than its factorization.

52259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1047 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52259328 is about 7229.0613498573. The cubic root of 52259328 is about 373.8705644158.

The spelling of 52259328 in words is "fifty-two million, two hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1031 1056 1152 1408 1536 1584 2062 2112 2304 2816 3093 3168 4124 4224 4608 5632 6186 6336 8248 8448 9279 11341 12372 12672 16496 16896 18558 22682 24744 25344 32992 34023 37116 45364 49488 50688 65984 68046 74232 90728 98976 102069 131968 136092 148464 181456 197952 204138 263936 272184 296928 362912 395904 408276 527872 544368 593856 725824 791808 816552 1088736 1187712 1451648 1583616 1633104 2177472 2375424 2903296 3266208 4354944 4750848 5806592 6532416 8709888 13064832 17419776 26129664 52259328