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53171328 = 2737131151
BaseRepresentation
bin1100101011010…
…1010010000000
310201001101100110
43022311102000
5102102440303
65135351320
71213643310
oct312652200
9121041313
1053171328
1128017451
1215982540
13b028a32
1470c1440
154a04703
hex32b5480

53171328 has 128 divisors (see below), whose sum is σ = 163722240. Its totient is φ = 14976000.

The previous prime is 53171311. The next prime is 53171333. The reversal of 53171328 is 82317135.

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

It is a junction number, because it is equal to n+sod(n) for n = 53171295 and 53171304.

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, 352053 + ... + 352203.

It is an arithmetic number, because the mean of its divisors is an integer number (1279080).

Almost surely, 253171328 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 53171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81861120).

53171328 is an abundant number, since it is smaller than the sum of its proper divisors (110550912).

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

53171328 is a wasteful number, since it uses less digits than its factorization.

53171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 53171328 is about 7291.8672505744. The cubic root of 53171328 is about 376.0328928520.

The spelling of 53171328 in words is "fifty-three million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 151 168 192 224 262 302 336 384 393 448 453 524 604 672 786 896 906 917 1048 1057 1208 1344 1572 1812 1834 2096 2114 2416 2688 2751 3144 3171 3624 3668 4192 4228 4832 5502 6288 6342 7248 7336 8384 8456 9664 11004 12576 12684 14496 14672 16768 16912 19328 19781 22008 25152 25368 28992 29344 33824 39562 44016 50304 50736 57984 58688 59343 67648 79124 88032 101472 117376 118686 135296 138467 158248 176064 202944 237372 276934 316496 352128 405888 415401 474744 553868 632992 830802 949488 1107736 1265984 1661604 1898976 2215472 2531968 3323208 3797952 4430944 6646416 7595904 8861888 13292832 17723776 26585664 53171328