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48102200 = 23522310457
BaseRepresentation
bin1011011101111…
…1101100111000
310100111211210222
42313133230320
544303232300
64434555212
71122601436
oct267375470
9110454728
1048102200
1125174993
1214138b08
139c72653
146561d56
154352785
hex2ddfb38

48102200 has 48 divisors (see below), whose sum is σ = 116711280. Its totient is φ = 18402560.

The previous prime is 48102193. The next prime is 48102209. The reversal of 48102200 is 220184.

It is a super-3 number, since 3×481022003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629 + ... + 9828.

It is an arithmetic number, because the mean of its divisors is an integer number (2431485).

Almost surely, 248102200 is an apocalyptic number.

48102200 is a gapful number since it is divisible by the number (40) 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 48102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58355640).

48102200 is an abundant number, since it is smaller than the sum of its proper divisors (68609080).

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

48102200 is a wasteful number, since it uses less digits than its factorization.

48102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 48102200 is about 6935.5749581415. The cubic root of 48102200 is about 363.6818658969.

Adding to 48102200 its reverse (220184), we get a palindrome (48322384).

The spelling of 48102200 in words is "forty-eight million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 10457 20914 41828 52285 83656 104570 209140 240511 261425 418280 481022 522850 962044 1045700 1202555 1924088 2091400 2405110 4810220 6012775 9620440 12025550 24051100 48102200