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52024200 = 23352312797
BaseRepresentation
bin1100011001110…
…1001110001000
310121220002210020
43012131032020
5101304233300
65055020440
71201125024
oct306351610
9117802706
1052024200
1127403608
121550a720
13aa16867
146ca3384
1548798a0
hex319d388

52024200 has 96 divisors (see below), whose sum is σ = 166536960. Its totient is φ = 13420800.

The previous prime is 52024177. The next prime is 52024207. The reversal of 52024200 is 242025.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52024200.

It is not an unprimeable number, because it can be changed into a prime (52024207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17202 + ... + 19998.

It is an arithmetic number, because the mean of its divisors is an integer number (1734760).

Almost surely, 252024200 is an apocalyptic number.

52024200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83268480).

52024200 is an abundant number, since it is smaller than the sum of its proper divisors (114512760).

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

52024200 is a wasteful number, since it uses less digits than its factorization.

52024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 52024200 is about 7212.7803238418. The cubic root of 52024200 is about 373.3090084775.

Adding to 52024200 its reverse (242025), we get a palindrome (52266225).

The spelling of 52024200 in words is "fifty-two million, twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 2797 3100 3720 4650 5594 6200 8391 9300 11188 13985 16782 18600 22376 27970 33564 41955 55940 67128 69925 83910 86707 111880 139850 167820 173414 209775 260121 279700 335640 346828 419550 433535 520242 559400 693656 839100 867070 1040484 1300605 1678200 1734140 2080968 2167675 2601210 3468280 4335350 5202420 6503025 8670700 10404840 13006050 17341400 26012100 52024200