Search a number
-
+
4933008 = 243319601
BaseRepresentation
bin10010110100010110010000
3100021121211000
4102310112100
52230324013
6253422000
756633643
oct22642620
910247730
104933008
11286a273
12179a900
131039452
14925a5a
15676973
hex4b4590

4933008 has 80 divisors (see below), whose sum is σ = 14929600. Its totient is φ = 1555200.

The previous prime is 4933007. The next prime is 4933031. The reversal of 4933008 is 8003394.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4933007) 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, 7908 + ... + 8508.

It is an arithmetic number, because the mean of its divisors is an integer number (186620).

Almost surely, 24933008 is an apocalyptic number.

4933008 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 4933008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464800).

4933008 is an abundant number, since it is smaller than the sum of its proper divisors (9996592).

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

4933008 is a wasteful number, since it uses less digits than its factorization.

4933008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4933008 is about 2221.0375953594. The cubic root of 4933008 is about 170.2304602155.

The spelling of 4933008 in words is "four million, nine hundred thirty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 601 684 912 1026 1202 1368 1803 2052 2404 2736 3606 4104 4808 5409 7212 8208 9616 10818 11419 14424 16227 21636 22838 28848 32454 34257 43272 45676 64908 68514 86544 91352 102771 129816 137028 182704 205542 259632 274056 308313 411084 548112 616626 822168 1233252 1644336 2466504 4933008