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48385060 = 225171011409
BaseRepresentation
bin1011100010010…
…0110000100100
310101001012211021
42320210300210
544341310220
64445020524
71125160213
oct270446044
9111035737
1048385060
1125348459
1214254744
13a041319
1465d707a
1543ab4aa
hex2e24c24

48385060 has 48 divisors (see below), whose sum is σ = 108727920. Its totient is φ = 18022400.

The previous prime is 48385037. The next prime is 48385063. The reversal of 48385060 is 6058384.

It can be written as a sum of positive squares in 8 ways, for example, as 54756 + 48330304 = 234^2 + 6952^2 .

It is a super-2 number, since 2×483850602 = 4682228062407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (48385063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33636 + ... + 35044.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 248385060 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 48385060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54363960).

48385060 is an abundant number, since it is smaller than the sum of its proper divisors (60342860).

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

48385060 is a wasteful number, since it uses less digits than its factorization.

48385060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 48385060 is about 6955.9370324925. The cubic root of 48385060 is about 364.3933376376.

The spelling of 48385060 in words is "forty-eight million, three hundred eighty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1409 1717 2020 2818 3434 5636 6868 7045 8585 14090 17170 23953 28180 34340 47906 95812 119765 142309 239530 284618 479060 569236 711545 1423090 2419253 2846180 4838506 9677012 12096265 24192530 48385060