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4808064 = 27319659
BaseRepresentation
bin10010010101110110000000
3100001021102110
4102111312000
52212324224
6251015320
755603452
oct22256600
910037373
104808064
112794408
12173a540
13cc4611
148d22d2
1564e929
hex495d80

4808064 has 64 divisors (see below), whose sum is σ = 13464000. Its totient is φ = 1516032.

The previous prime is 4808051. The next prime is 4808071. The reversal of 4808064 is 4608084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×48080643 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6967 + ... + 7625.

It is an arithmetic number, because the mean of its divisors is an integer number (210375).

Almost surely, 24808064 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 4808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732000).

4808064 is an abundant number, since it is smaller than the sum of its proper divisors (8655936).

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

4808064 is a wasteful number, since it uses less digits than its factorization.

4808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4808064 is about 2192.7298055164. The cubic root of 4808064 is about 168.7809446681.

The spelling of 4808064 in words is "four million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 659 912 1216 1318 1824 1977 2432 2636 3648 3954 5272 7296 7908 10544 12521 15816 21088 25042 31632 37563 42176 50084 63264 75126 84352 100168 126528 150252 200336 253056 300504 400672 601008 801344 1202016 1602688 2404032 4808064