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48066048 = 29341961
BaseRepresentation
bin1011011101011…
…0111000000000
310100110000020000
42313112320000
544301103143
64434120000
71122361152
oct267267000
9110400200
1048066048
112514a808
1214120000
139c5c064
146552ad2
154346bd3
hex2dd6e00

48066048 has 200 divisors, whose sum is σ = 153490920. Its totient is φ = 14929920.

The previous prime is 48066043. The next prime is 48066091. The reversal of 48066048 is 84066084.

48066048 is a `hidden beast` number, since 48 + 0 + 6 + 604 + 8 = 666.

It is a super-3 number, since 3×480660483 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48066041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787938 + ... + 787998.

Almost surely, 248066048 is an apocalyptic number.

48066048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76745460).

48066048 is an abundant number, since it is smaller than the sum of its proper divisors (105424872).

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

48066048 is an equidigital number, since it uses as much as digits as its factorization.

48066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

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

The square root of 48066048 is about 6932.9681955134. The cubic root of 48066048 is about 363.5907326985.

Adding to 48066048 its sum of digits (36), we get a palindrome (48066084).

The spelling of 48066048 in words is "forty-eight million, sixty-six thousand, forty-eight".