Search a number
-
+
4936968 = 2332191359
BaseRepresentation
bin10010110101010100001000
3100021211020200
4102311110020
52230440333
6253452200
756651331
oct22652410
910254220
104936968
112872243
1217a1060
13103b1aa
14927288
15677c13
hex4b5508

4936968 has 48 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1632480.

The previous prime is 4936963. The next prime is 4936993. The reversal of 4936968 is 8696394.

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

It is not an unprimeable number, because it can be changed into a prime (4936961) 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, 13573 + ... + 13931.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 24936968 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 4936968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

4936968 is an abundant number, since it is smaller than the sum of its proper divisors (8541432).

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

4936968 is a wasteful number, since it uses less digits than its factorization.

4936968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4936968 is about 2221.9288917515. The cubic root of 4936968 is about 170.2759991862.

The spelling of 4936968 in words is "four million, nine hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 359 382 573 718 764 1077 1146 1436 1528 1719 2154 2292 2872 3231 3438 4308 4584 6462 6876 8616 12924 13752 25848 68569 137138 205707 274276 411414 548552 617121 822828 1234242 1645656 2468484 4936968