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5795328 = 2937311
BaseRepresentation
bin10110000110111000000000
3101220102200210
4112012320000
52440422303
6324114120
7100155000
oct26067000
911812623
105795328
1132a9130
121b35940
13127bab6
14aac000
15797203
hex586e00

5795328 has 160 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1505280.

The previous prime is 5795291. The next prime is 5795329. The reversal of 5795328 is 8235975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5795329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526843 + ... + 526853.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 25795328 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 5795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5795328 is an abundant number, since it is smaller than the sum of its proper divisors (13846272).

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

5795328 is an equidigital number, since it uses as much as digits as its factorization.

5795328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 5795328 is about 2407.3487491429. The cubic root of 5795328 is about 179.6219224798.

The spelling of 5795328 in words is "five million, seven hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 128 132 147 154 168 176 192 196 224 231 256 264 294 308 336 343 352 384 392 448 462 512 528 539 588 616 672 686 704 768 784 896 924 1029 1056 1078 1176 1232 1344 1372 1408 1536 1568 1617 1792 1848 2058 2112 2156 2352 2464 2688 2744 2816 3136 3234 3584 3696 3773 4116 4224 4312 4704 4928 5376 5488 5632 6272 6468 7392 7546 8232 8448 8624 9408 9856 10752 10976 11319 12544 12936 14784 15092 16464 16896 17248 18816 19712 21952 22638 25088 25872 29568 30184 32928 34496 37632 39424 43904 45276 51744 59136 60368 65856 68992 75264 87808 90552 103488 118272 120736 131712 137984 175616 181104 206976 241472 263424 275968 362208 413952 482944 526848 724416 827904 965888 1448832 1931776 2897664 5795328