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48480 = 2535101
BaseRepresentation
bin1011110101100000
32110111120
423311200
53022410
61012240
7261225
oct136540
973446
1048480
1133473
1224080
13190b3
141394c
15e570
hexbd60

48480 has 48 divisors (see below), whose sum is σ = 154224. Its totient is φ = 12800.

The previous prime is 48479. The next prime is 48481. The reversal of 48480 is 8484.

48480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48479) and next prime (48481).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48481) 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, 430 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (3213).

248480 is an apocalyptic number.

48480 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 48480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112).

48480 is an abundant number, since it is smaller than the sum of its proper divisors (105744).

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

48480 is a wasteful number, since it uses less digits than its factorization.

48480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48480 is about 220.1817431124. The cubic root of 48480 is about 36.4631516534.

It can be divided in two parts, 48 and 480, that added together give a triangular number (528 = T32).

The spelling of 48480 in words is "forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 48480