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48076 = 22717101
BaseRepresentation
bin1011101111001100
32102221121
423233030
53014301
61010324
7260110
oct135714
972847
1048076
1133136
12239a4
1318b62
1413740
15e3a1
hexbbcc

48076 has 24 divisors (see below), whose sum is σ = 102816. Its totient is φ = 19200.

The previous prime is 48073. The next prime is 48079. The reversal of 48076 is 67084.

It is an interprime number because it is at equal distance from previous prime (48073) and next prime (48079).

It is a super-3 number, since 3×480763 = 333354432548928, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 48076.

It is not an unprimeable number, because it can be changed into a prime (48073) 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, 426 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

248076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408).

48076 is an abundant number, since it is smaller than the sum of its proper divisors (54740).

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

48076 is a wasteful number, since it uses less digits than its factorization.

48076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 48076 is about 219.2623998774. The cubic root of 48076 is about 36.3615824598.

The spelling of 48076 in words is "forty-eight thousand, seventy-six".

Divisors: 1 2 4 7 14 17 28 34 68 101 119 202 238 404 476 707 1414 1717 2828 3434 6868 12019 24038 48076