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48700200 = 23352233529
BaseRepresentation
bin1011100111000…
…1101100101000
310101122020010010
42321301230220
544431401300
64455451520
71130642043
oct271615450
9111566103
1048700200
11255431aa
1214386ba0
13a1218b3
146679c5a
15441ea50
hex2e71b28

48700200 has 96 divisors (see below), whose sum is σ = 157579200. Its totient is φ = 12418560.

The previous prime is 48700199. The next prime is 48700213. The reversal of 48700200 is 200784.

It is a happy number.

48700200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12036 + ... + 15564.

It is an arithmetic number, because the mean of its divisors is an integer number (1641450).

Almost surely, 248700200 is an apocalyptic number.

48700200 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 48700200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78789600).

48700200 is an abundant number, since it is smaller than the sum of its proper divisors (108879000).

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

48700200 is a wasteful number, since it uses less digits than its factorization.

48700200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 48700200 is about 6978.5528585804. The cubic root of 48700200 is about 365.1827445443.

Adding to 48700200 its reverse (200784), we get a palindrome (48900984).

The spelling of 48700200 in words is "forty-eight million, seven hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 3529 4600 6900 7058 10587 13800 14116 17645 21174 28232 35290 42348 52935 70580 81167 84696 88225 105870 141160 162334 176450 211740 243501 264675 324668 352900 405835 423480 487002 529350 649336 705800 811670 974004 1058700 1217505 1623340 1948008 2029175 2117400 2435010 3246680 4058350 4870020 6087525 8116700 9740040 12175050 16233400 24350100 48700200