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53032590 = 23351329521
BaseRepresentation
bin1100101001001…
…1011010001110
310200210100001000
43022103122032
5102034020330
65132401130
71212524652
oct312233216
9120710030
1053032590
1127a32196
12159161a6
13acaa840
147086a62
1549c8560
hex329368e

53032590 has 128 divisors (see below), whose sum is σ = 157852800. Its totient is φ = 12579840.

The previous prime is 53032589. The next prime is 53032627. The reversal of 53032590 is 9523035.

53032590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101530 + ... + 102050.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225).

Almost surely, 253032590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53032590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926400).

53032590 is an abundant number, since it is smaller than the sum of its proper divisors (104820210).

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

53032590 is a wasteful number, since it uses less digits than its factorization.

53032590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 53032590 is about 7282.3478356915. The cubic root of 53032590 is about 375.7055516923.

The spelling of 53032590 in words is "fifty-three million, thirty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 87 90 117 130 135 145 174 195 234 261 270 290 351 377 390 435 521 522 585 702 754 783 870 1042 1131 1170 1305 1563 1566 1755 1885 2262 2605 2610 3126 3393 3510 3770 3915 4689 5210 5655 6773 6786 7815 7830 9378 10179 11310 13546 14067 15109 15630 16965 20319 20358 23445 28134 30218 33865 33930 40638 45327 46890 50895 60957 67730 70335 75545 90654 101595 101790 121914 135981 140670 151090 182871 196417 203190 226635 271962 304785 365742 392834 407943 453270 589251 609570 679905 815886 914355 982085 1178502 1359810 1767753 1828710 1964170 2039715 2946255 3535506 4079430 5303259 5892510 8838765 10606518 17677530 26516295 53032590