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48048 = 24371113
BaseRepresentation
bin1011101110110000
32102220120
423232300
53014143
61010240
7260040
oct135660
972816
1048048
1133110
1223980
1318b40
1413720
15e383
hexbbb0

48048 has 80 divisors (see below), whose sum is σ = 166656. Its totient is φ = 11520.

The previous prime is 48029. The next prime is 48049. The reversal of 48048 is 84084.

It is a super-2 number, since 2×480482 = 4617220608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48049) by changing a digit.

48048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3690 + ... + 3702.

248048 is an apocalyptic number.

48048 is a gapful number since it is divisible by the number (48) 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 48048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

48048 is an abundant number, since it is smaller than the sum of its proper divisors (118608).

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

48048 is a wasteful number, since it uses less digits than its factorization.

48048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

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

The square root of 48048 is about 219.1985401411. The cubic root of 48048 is about 36.3545219581.

48048 divided by its sum of digits (24) gives a palindrome (2002).

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

The spelling of 48048 in words is "forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048