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4066848 = 2535523
BaseRepresentation
bin1111100000111000100000
321122121200000
433200320200
52020114343
6223100000
746365462
oct17407040
97577600
104066848
112328535
121441600
13ac5126
1477c132
15554ed3
hex3e0e20

4066848 has 72 divisors (see below), whose sum is σ = 12016368. Its totient is φ = 1353024.

The previous prime is 4066847. The next prime is 4066861. The reversal of 4066848 is 8486604.

4066848 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (4066847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7515 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (166894).

Almost surely, 24066848 is an apocalyptic number.

4066848 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 4066848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008184).

4066848 is an abundant number, since it is smaller than the sum of its proper divisors (7949520).

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

4066848 is an equidigital number, since it uses as much as digits as its factorization.

4066848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 528 counting only the distinct ones).

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

The square root of 4066848 is about 2016.6427546792. The cubic root of 4066848 is about 159.6195125671.

The spelling of 4066848 in words is "four million, sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 523 648 864 972 1046 1296 1569 1944 2092 2592 3138 3888 4184 4707 6276 7776 8368 9414 12552 14121 16736 18828 25104 28242 37656 42363 50208 56484 75312 84726 112968 127089 150624 169452 225936 254178 338904 451872 508356 677808 1016712 1355616 2033424 4066848