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4689648 = 2432291123
BaseRepresentation
bin10001111000111011110000
322211020222200
4101320323300
52200032043
6244303200
754601305
oct21707360
98736880
104689648
112713447
1216a1b00
13c82752
148a10ac
156297d3
hex478ef0

4689648 has 60 divisors (see below), whose sum is σ = 13589160. Its totient is φ = 1507968.

The previous prime is 4689611. The next prime is 4689661. The reversal of 4689648 is 8469864.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3615 + ... + 4737.

It is an arithmetic number, because the mean of its divisors is an integer number (226486).

Almost surely, 24689648 is an apocalyptic number.

4689648 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 4689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794580).

4689648 is an abundant number, since it is smaller than the sum of its proper divisors (8899512).

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

4689648 is a wasteful number, since it uses less digits than its factorization.

4689648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4689648 is about 2165.5595119968. The cubic root of 4689648 is about 167.3837970297.

The spelling of 4689648 in words is "four million, six hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1123 1392 2088 2246 3369 4176 4492 6738 8984 10107 13476 17968 20214 26952 32567 40428 53904 65134 80856 97701 130268 161712 195402 260536 293103 390804 521072 586206 781608 1172412 1563216 2344824 4689648