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48279 = 3711219
BaseRepresentation
bin1011110010010111
32110020010
423302113
53021104
61011303
7260520
oct136227
973203
1048279
1133300
1223b33
1318c8a
1413847
15e489
hexbc97

48279 has 24 divisors (see below), whose sum is σ = 85120. Its totient is φ = 23760.

The previous prime is 48271. The next prime is 48281. The reversal of 48279 is 97284.

It is not a de Polignac number, because 48279 - 23 = 48271 is a prime.

48279 is a lucky number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48279.

It is not an unprimeable number, because it can be changed into a prime (48271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2532 + ... + 2550.

248279 is an apocalyptic number.

48279 is a deficient number, since it is larger than the sum of its proper divisors (36841).

48279 is a wasteful number, since it uses less digits than its factorization.

48279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 48279 is about 219.7248279098. The cubic root of 48279 is about 36.4126892925.

It can be divided in two parts, 482 and 79, that added together give a triangular number (561 = T33).

The spelling of 48279 in words is "forty-eight thousand, two hundred seventy-nine".

Divisors: 1 3 7 11 19 21 33 57 77 121 133 209 231 363 399 627 847 1463 2299 2541 4389 6897 16093 48279