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48060648 = 23331012203
BaseRepresentation
bin1011011101010…
…1100011101000
310100102201211000
42313111203220
544300420043
64434035000
71122336336
oct267254350
9110381730
1048060648
1125146749
1214118a60
139c5976c
146550b56
1543452d3
hex2dd58e8

48060648 has 64 divisors (see below), whose sum is σ = 134884800. Its totient is φ = 15854400.

The previous prime is 48060647. The next prime is 48060653. The reversal of 48060648 is 84606084.

48060648 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 0 + 648 = 666.

It is a super-3 number, since 3×480606483 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48060647) 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, 20715 + ... + 22917.

It is an arithmetic number, because the mean of its divisors is an integer number (2107575).

Almost surely, 248060648 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 48060648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67442400).

48060648 is an abundant number, since it is smaller than the sum of its proper divisors (86824152).

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

48060648 is a wasteful number, since it uses less digits than its factorization.

48060648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48060648 is about 6932.5787409881. The cubic root of 48060648 is about 363.5771162716.

The spelling of 48060648 in words is "forty-eight million, sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2203 2424 2727 3636 4406 5454 6609 7272 8812 10908 13218 17624 19827 21816 26436 39654 52872 59481 79308 118962 158616 222503 237924 445006 475848 667509 890012 1335018 1780024 2002527 2670036 4005054 5340072 6007581 8010108 12015162 16020216 24030324 48060648