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59948 = 2272141
BaseRepresentation
bin1110101000101100
310001020022
432220230
53404243
61141312
7336530
oct165054
9101208
1059948
1141049
122a838
1321395
1417bc0
1512b68
hexea2c

59948 has 12 divisors (see below), whose sum is σ = 119952. Its totient is φ = 25680.

The previous prime is 59929. The next prime is 59951. The reversal of 59948 is 84995.

59948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

59948 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59948.

It is an unprimeable number.

59948 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 3 ways as a sum of consecutive naturals, for example, 1043 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (9996).

259948 is an apocalyptic number.

It is an amenable number.

59948 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976).

59948 is a wasteful number, since it uses less digits than its factorization.

59948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2150 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 59948 is about 244.8428067148. The cubic root of 59948 is about 39.1373635253.

The spelling of 59948 in words is "fifty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 2141 4282 8564 14987 29974 59948