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48438 = 2341323
BaseRepresentation
bin1011110100110110
32110110000
423310312
53022223
61012130
7261135
oct136466
973400
1048438
1133435
1224046
1319080
141391c
15e543
hexbd36

48438 has 40 divisors (see below), whose sum is σ = 121968. Its totient is φ = 14256.

The previous prime is 48437. The next prime is 48449. The reversal of 48438 is 83484.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2095 + ... + 2117.

248438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984).

48438 is an abundant number, since it is smaller than the sum of its proper divisors (73530).

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

48438 is a wasteful number, since it uses less digits than its factorization.

48438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 41 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 48438 is about 220.0863466915. The cubic root of 48438 is about 36.4526188232.

It can be divided in two parts, 4843 and 8, that added together give a triangular number (4851 = T98).

The spelling of 48438 in words is "forty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 3726 5382 8073 16146 24219 48438