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5202900 = 2233524147
BaseRepresentation
bin10011110110001111010100
3100210100001000
4103312033110
52312443100
6303303300
762136543
oct23661724
910710030
105202900
112a3401a
1218aab30
131102251
1499615a
156cb900
hex4f63d4

5202900 has 144 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1324800.

The previous prime is 5202893. The next prime is 5202907. The reversal of 5202900 is 92025.

5202900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5202893) and next prime (5202907).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5202907) 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, 110677 + ... + 110723.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 25202900 is an apocalyptic number.

5202900 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 5202900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5202900 is an abundant number, since it is smaller than the sum of its proper divisors (12295980).

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

5202900 is a wasteful number, since it uses less digits than its factorization.

5202900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5202900 is about 2280.9866286324. The cubic root of 5202900 is about 173.2800214087.

Adding to 5202900 its reverse (92025), we get a palindrome (5294925).

The spelling of 5202900 in words is "five million, two hundred two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 41 45 47 50 54 60 75 82 90 94 100 108 123 135 141 150 164 180 188 205 225 235 246 270 282 300 369 410 423 450 470 492 540 564 615 675 705 738 820 846 900 940 1025 1107 1175 1230 1269 1350 1410 1476 1692 1845 1927 2050 2115 2214 2350 2460 2538 2700 2820 3075 3525 3690 3854 4100 4230 4428 4700 5076 5535 5781 6150 6345 7050 7380 7708 8460 9225 9635 10575 11070 11562 12300 12690 14100 17343 18450 19270 21150 22140 23124 25380 27675 28905 31725 34686 36900 38540 42300 48175 52029 55350 57810 63450 69372 86715 96350 104058 110700 115620 126900 144525 173430 192700 208116 260145 289050 346860 433575 520290 578100 867150 1040580 1300725 1734300 2601450 5202900