[go: up one dir, main page]

Search a number
-
+
4833680 = 245233771
BaseRepresentation
bin10010011100000110010000
3100002120120012
4102130012100
52214134210
6251334052
756041235
oct22340620
910076505
104833680
112801685
121751328
131003187
148db78c
15657305
hex49c190

4833680 has 80 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 1774080.

The previous prime is 4833649. The next prime is 4833683. The reversal of 4833680 is 863384.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4833683) 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, 68045 + ... + 68115.

Almost surely, 24833680 is an apocalyptic number.

4833680 is a gapful number since it is divisible by the number (40) 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 4833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

4833680 is an abundant number, since it is smaller than the sum of its proper divisors (7379824).

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

4833680 is a wasteful number, since it uses less digits than its factorization.

4833680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4833680 is about 2198.5631671617. The cubic root of 4833680 is about 169.0801529156.

The spelling of 4833680 in words is "four million, eight hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 71 74 80 92 115 142 148 184 185 230 284 296 355 368 370 460 568 592 710 740 851 920 1136 1420 1480 1633 1702 1840 2627 2840 2960 3266 3404 4255 5254 5680 6532 6808 8165 8510 10508 13064 13135 13616 16330 17020 21016 26128 26270 32660 34040 42032 52540 60421 65320 68080 105080 120842 130640 210160 241684 302105 483368 604210 966736 1208420 2416840 4833680