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50148 = 22327199
BaseRepresentation
bin1100001111100100
32112210100
430033210
53101043
61024100
7266130
oct141744
975710
1050148
113474a
1225030
1319a97
14143c0
15ecd3
hexc3e4

50148 has 36 divisors (see below), whose sum is σ = 145600. Its totient is φ = 14256.

The previous prime is 50147. The next prime is 50153. The reversal of 50148 is 84105.

50148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 50148.

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 50148.

It is not an unprimeable number, because it can be changed into a prime (50147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 351.

250148 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 50148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72800).

50148 is an abundant number, since it is smaller than the sum of its proper divisors (95452).

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

50148 is a wasteful number, since it uses less digits than its factorization.

50148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 50148 is about 223.9374912783. The cubic root of 50148 is about 36.8766282916.

The spelling of 50148 in words is "fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 12537 16716 25074 50148