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48666200 = 23521122011
BaseRepresentation
bin1011100110100…
…1011001011000
310101120111110212
42321221121120
544424304300
64455030252
71130440652
oct271513130
9111514425
1048666200
112551a700
121436b388
13a10c28b
14666b6d2
154414935
hex2e69658

48666200 has 72 divisors (see below), whose sum is σ = 124432140. Its totient is φ = 17688000.

The previous prime is 48666199. The next prime is 48666203. The reversal of 48666200 is 266684.

It is a happy number.

48666200 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 not an unprimeable number, because it can be changed into a prime (48666203) 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 17 ways as a sum of consecutive naturals, for example, 23195 + ... + 25205.

Almost surely, 248666200 is an apocalyptic number.

48666200 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 48666200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62216070).

48666200 is an abundant number, since it is smaller than the sum of its proper divisors (75765940).

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

48666200 is a wasteful number, since it uses less digits than its factorization.

48666200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 48666200 is about 6976.1163981115. The cubic root of 48666200 is about 365.0977407600.

The spelling of 48666200 in words is "forty-eight million, six hundred sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2011 2200 2420 3025 4022 4840 6050 8044 10055 12100 16088 20110 22121 24200 40220 44242 50275 80440 88484 100550 110605 176968 201100 221210 243331 402200 442420 486662 553025 884840 973324 1106050 1216655 1946648 2212100 2433310 4424200 4866620 6083275 9733240 12166550 24333100 48666200