Search a number
-
+
52532910 = 23251931991
BaseRepresentation
bin1100100001100…
…1011010101110
310122211221121100
43020121122232
5101422023120
65113543530
71205344113
oct310313256
9118757540
1052532910
1127720831
1215714ba6
13ab64281
146d9690a
15492a490
hex32196ae

52532910 has 96 divisors (see below), whose sum is σ = 148561920. Its totient is φ = 12830400.

The previous prime is 52532903. The next prime is 52532959. The reversal of 52532910 is 1923525.

52532910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 52515 + ... + 53505.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 252532910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52532910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

52532910 is an abundant number, since it is smaller than the sum of its proper divisors (96029010).

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

52532910 is a wasteful number, since it uses less digits than its factorization.

52532910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52532910 is about 7247.9590230630. The cubic root of 52532910 is about 374.5218439038.

The spelling of 52532910 in words is "fifty-two million, five hundred thirty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 465 558 570 589 855 930 991 1178 1395 1710 1767 1982 2790 2945 2973 3534 4955 5301 5890 5946 8835 8919 9910 10602 14865 17670 17838 18829 26505 29730 30721 37658 44595 53010 56487 61442 89190 92163 94145 112974 153605 169461 184326 188290 276489 282435 307210 338922 460815 552978 564870 583699 847305 921630 1167398 1382445 1694610 1751097 2764890 2918495 3502194 5253291 5836990 8755485 10506582 17510970 26266455 52532910