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52051300 = 22527235361
BaseRepresentation
bin1100011010001…
…1110101100100
310121221110221221
43012203311210
5101311120200
65055350124
71201300030
oct306436544
9117843857
1052051300
1127421a04
1215522344
13aa25cb2
146cad1c0
15488291a
hex31a3d64

52051300 has 144 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 16473600.

The previous prime is 52051291. The next prime is 52051301. The reversal of 52051300 is 315025.

52051300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52051301) by changing a digit.

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, 853270 + ... + 853330.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 252051300 is an apocalyptic number.

52051300 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 52051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

52051300 is an abundant number, since it is smaller than the sum of its proper divisors (87439772).

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

52051300 is a wasteful number, since it uses less digits than its factorization.

52051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 52051300 is about 7214.6586890857. The cubic root of 52051300 is about 373.3738175343.

Adding to 52051300 its reverse (315025), we get a palindrome (52366325).

The spelling of 52051300 in words is "fifty-two million, fifty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 53 61 70 92 100 106 115 122 140 161 175 212 230 244 265 305 322 350 371 427 460 530 575 610 644 700 742 805 854 1060 1150 1219 1220 1325 1403 1484 1525 1610 1708 1855 2135 2300 2438 2650 2806 3050 3220 3233 3710 4025 4270 4876 5300 5612 6095 6100 6466 7015 7420 8050 8533 8540 9275 9821 10675 12190 12932 14030 16100 16165 17066 18550 19642 21350 22631 24380 28060 30475 32330 34132 35075 37100 39284 42665 42700 45262 49105 60950 64660 70150 74359 80825 85330 90524 98210 113155 121900 140300 148718 161650 170660 196420 213325 226310 245525 297436 323300 371795 426650 452620 491050 520513 565775 743590 853300 982100 1041026 1131550 1487180 1858975 2082052 2263100 2602565 3717950 5205130 7435900 10410260 13012825 26025650 52051300