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48400 = 2452112
BaseRepresentation
bin1011110100010000
32110101121
423310100
53022100
61012024
7261052
oct136420
973347
1048400
1133400
1224014
1319051
14138d2
15e51a
hexbd10

48400 has 45 divisors (see below), whose sum is σ = 127813. Its totient is φ = 17600.

The previous prime is 48397. The next prime is 48407. The reversal of 48400 is 484.

Subtracting from 48400 its sum of digits (16), we obtain a palindrome (48384).

Multipling 48400 by its sum of digits (16), we get a square (774400 = 8802).

48400 divided by its sum of digits (16) gives a square (3025 = 552).

Adding to 48400 its reverse (484), we get a palindrome (48884).

Multipling 48400 by its reverse (484), we get a square (23425600 = 48402).

48400 divided by its reverse (484) gives a square (100 = 102).

48400 = T219 + T220.

The square root of 48400 is 220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 30976 = 132^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4395 + ... + 4405.

248400 is an apocalyptic number.

48400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48400 is the 220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48400

48400 is an abundant number, since it is smaller than the sum of its proper divisors (79413).

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

48400 is a wasteful number, since it uses less digits than its factorization.

48400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 48400 is about 36.4430838719.

The spelling of 48400 in words is "forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400