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48063200 = 255273823
BaseRepresentation
bin1011011101011…
…0001011100000
310100102212022112
42313112023200
544301010300
64434054452
71122346643
oct267261340
9110385275
1048063200
1125148659
121411a428
139c5a983
146551a5a
154345e35
hex2dd62e0

48063200 has 72 divisors (see below), whose sum is σ = 119086128. Its totient is φ = 18938880.

The previous prime is 48063163. The next prime is 48063203. The reversal of 48063200 is 236084.

It is a happy number.

48063200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480632003 (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 (48063203) 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 11 ways as a sum of consecutive naturals, for example, 57989 + ... + 58811.

It is an arithmetic number, because the mean of its divisors is an integer number (1653974).

Almost surely, 248063200 is an apocalyptic number.

48063200 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 48063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59543064).

48063200 is an abundant number, since it is smaller than the sum of its proper divisors (71022928).

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

48063200 is a wasteful number, since it uses less digits than its factorization.

48063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 48063200 is about 6932.7627970384. The cubic root of 48063200 is about 363.5835514212.

Adding to 48063200 its reverse (236084), we get a palindrome (48299284).

The spelling of 48063200 in words is "forty-eight million, sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 146 160 200 292 365 400 584 730 800 823 1168 1460 1646 1825 2336 2920 3292 3650 4115 5840 6584 7300 8230 11680 13168 14600 16460 20575 26336 29200 32920 41150 58400 60079 65840 82300 120158 131680 164600 240316 300395 329200 480632 600790 658400 961264 1201580 1501975 1922528 2403160 3003950 4806320 6007900 9612640 12015800 24031600 48063200