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61248 = 2631129
BaseRepresentation
bin1110111101000000
310010000110
432331000
53424443
61151320
7343365
oct167500
9103013
1061248
1142020
122b540
1321b55
141846c
1513233
hexef40

61248 has 56 divisors (see below), whose sum is σ = 182880. Its totient is φ = 17920.

The previous prime is 61231. The next prime is 61253. The reversal of 61248 is 84216.

61248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

61248 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 7 ways as a sum of consecutive naturals, for example, 2098 + ... + 2126.

261248 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 61248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

61248 is an abundant number, since it is smaller than the sum of its proper divisors (121632).

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

61248 is a wasteful number, since it uses less digits than its factorization.

61248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 61248 is about 247.4833327721. The cubic root of 61248 is about 39.4182467640.

The spelling of 61248 in words is "sixty-one thousand, two hundred forty-eight".