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48398200 = 2352892719
BaseRepresentation
bin1011100010011…
…1111101111000
310101001212211221
42320213331320
544342220300
64445201424
71125243424
oct270477570
9111055757
1048398200
1125357314
1214260274
13a0472b6
1465dbb84
1543b031a
hex2e27f78

48398200 has 48 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 19134720.

The previous prime is 48398191. The next prime is 48398209. The reversal of 48398200 is 289384.

It is an interprime number because it is at equal distance from previous prime (48398191) and next prime (48398209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48398209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16441 + ... + 19159.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 248398200 is an apocalyptic number.

48398200 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 48398200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

48398200 is an abundant number, since it is smaller than the sum of its proper divisors (65433800).

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

48398200 is a wasteful number, since it uses less digits than its factorization.

48398200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 48398200 is about 6956.8814852634. The cubic root of 48398200 is about 364.4263209255.

The spelling of 48398200 in words is "forty-eight million, three hundred ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 2719 3560 4450 5438 8900 10876 13595 17800 21752 27190 54380 67975 108760 135950 241991 271900 483982 543800 967964 1209955 1935928 2419910 4839820 6049775 9679640 12099550 24199100 48398200