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48280 = 2351771
BaseRepresentation
bin1011110010011000
32110020011
423302120
53021110
61011304
7260521
oct136230
973204
1048280
1133301
1223b34
1318c8b
1413848
15e48a
hexbc98

48280 has 32 divisors (see below), whose sum is σ = 116640. Its totient is φ = 17920.

The previous prime is 48271. The next prime is 48281. The reversal of 48280 is 8284.

48280 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 (48281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

248280 is an apocalyptic number.

48280 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 48280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320).

48280 is an abundant number, since it is smaller than the sum of its proper divisors (68360).

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

48280 is a wasteful number, since it uses less digits than its factorization.

48280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 48280 is about 219.7271034716. The cubic root of 48280 is about 36.4129406953.

The spelling of 48280 in words is "forty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 680 710 1207 1420 2414 2840 4828 6035 9656 12070 24140 48280