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48924 = 2234151
BaseRepresentation
bin1011111100011100
32111010000
423330130
53031144
61014300
7262431
oct137434
974100
1048924
1133837
1224390
1319365
1413b88
15e769
hexbf1c

48924 has 30 divisors (see below), whose sum is σ = 128744. Its totient is φ = 16200.

The previous prime is 48907. The next prime is 48947. The reversal of 48924 is 42984.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 249 + ... + 399.

248924 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 48924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64372).

48924 is an abundant number, since it is smaller than the sum of its proper divisors (79820).

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

48924 is a wasteful number, since it uses less digits than its factorization.

48924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 48924 is about 221.1877030940. The cubic root of 48924 is about 36.5741284512.

The spelling of 48924 in words is "forty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 453 604 906 1359 1812 2718 4077 5436 8154 12231 16308 24462 48924