Search a number
-
+
52129160 = 23519113607
BaseRepresentation
bin1100011011011…
…0110110001000
310122002102202122
43012312312020
5101321113120
65101150412
71202043026
oct306666610
9118072678
1052129160
1127475456
121555b408
13aa52575
146ccd716
15489aa25
hex31b6d88

52129160 has 64 divisors (see below), whose sum is σ = 124761600. Its totient is φ = 19547136.

The previous prime is 52129159. The next prime is 52129183. The reversal of 52129160 is 6192125.

52129160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 85577 + ... + 86183.

It is an arithmetic number, because the mean of its divisors is an integer number (1949400).

Almost surely, 252129160 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 52129160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62380800).

52129160 is an abundant number, since it is smaller than the sum of its proper divisors (72632440).

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

52129160 is a wasteful number, since it uses less digits than its factorization.

52129160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 52129160 is about 7220.0526313871. The cubic root of 52129160 is about 373.5598929536.

The spelling of 52129160 in words is "fifty-two million, one hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 607 760 904 1130 1214 2147 2260 2428 3035 4294 4520 4856 6070 8588 10735 11533 12140 17176 21470 23066 24280 42940 46132 57665 68591 85880 92264 115330 137182 230660 274364 342955 461320 548728 685910 1303229 1371820 2606458 2743640 5212916 6516145 10425832 13032290 26064580 52129160