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53073384 = 233713191279
BaseRepresentation
bin1100101001110…
…1010111101000
310200212101222220
43022131113220
5102041322014
65133314040
71213054620
oct312352750
9120771886
1053073384
1127a5a901
1215935920
13acc3290
147097880
1549d56a9
hex329d5e8

53073384 has 128 divisors (see below), whose sum is σ = 172032000. Its totient is φ = 13250304.

The previous prime is 53073359. The next prime is 53073401. The reversal of 53073384 is 48337035.

It is a super-2 number, since 2×530733842 = 5633568178422912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40857 + ... + 42135.

It is an arithmetic number, because the mean of its divisors is an integer number (1344000).

Almost surely, 253073384 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 53073384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86016000).

53073384 is an abundant number, since it is smaller than the sum of its proper divisors (118958616).

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

53073384 is a wasteful number, since it uses less digits than its factorization.

53073384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 53073384 is about 7285.1481796872. The cubic root of 53073384 is about 375.8018610504.

The spelling of 53073384 in words is "fifty-three million, seventy-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1279 1482 1596 1729 1976 2184 2558 2964 3192 3458 3837 5116 5187 5928 6916 7674 8953 10232 10374 13832 15348 16627 17906 20748 24301 26859 30696 33254 35812 41496 48602 49881 53718 66508 71624 72903 97204 99762 107436 116389 133016 145806 170107 194408 199524 214872 232778 291612 315913 340214 349167 399048 465556 510321 583224 631826 680428 698334 931112 947739 1020642 1263652 1360856 1396668 1895478 2041284 2211391 2527304 2793336 3790956 4082568 4422782 6634173 7581912 8845564 13268346 17691128 26536692 53073384