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52303600 = 2452229571
BaseRepresentation
bin1100011110000…
…1011011110000
310122102022001101
43013201123300
5101342203400
65105014144
71203400426
oct307413360
9118368041
1052303600
1127584518
1215624354
13aab3a9b
146d37116
1548d256a
hex31e16f0

52303600 has 60 divisors (see below), whose sum is σ = 126429160. Its totient is φ = 20793600.

The previous prime is 52303597. The next prime is 52303613. The reversal of 52303600 is 630325.

52303600 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 11 ways as a sum of consecutive naturals, for example, 91315 + ... + 91885.

Almost surely, 252303600 is an apocalyptic number.

52303600 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 52303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63214580).

52303600 is an abundant number, since it is smaller than the sum of its proper divisors (74125560).

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

52303600 is a wasteful number, since it uses less digits than its factorization.

52303600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 52303600 is about 7232.1227865683. The cubic root of 52303600 is about 373.9761106496.

Adding to 52303600 its reverse (630325), we get a palindrome (52933925).

The spelling of 52303600 in words is "fifty-two million, three hundred three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 229 400 458 571 916 1142 1145 1832 2284 2290 2855 3664 4568 4580 5710 5725 9136 9160 11420 11450 14275 18320 22840 22900 28550 45680 45800 57100 91600 114200 130759 228400 261518 523036 653795 1046072 1307590 2092144 2615180 3268975 5230360 6537950 10460720 13075900 26151800 52303600