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5023968 = 25359887
BaseRepresentation
bin10011001010100011100000
3100110020120220
4103022203200
52241231333
6255403040
760463065
oct23124340
910406526
105023968
112921644
121823480
13106b981
1494ac6c
156938b3
hex4ca8e0

5023968 has 48 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 1644416.

The previous prime is 5023957. The next prime is 5023969. The reversal of 5023968 is 8693205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5023969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5221 + ... + 6107.

It is an arithmetic number, because the mean of its divisors is an integer number (279720).

Almost surely, 25023968 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 5023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713280).

5023968 is an abundant number, since it is smaller than the sum of its proper divisors (8402592).

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

5023968 is a wasteful number, since it uses less digits than its factorization.

5023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5023968 is about 2241.4209778620. The cubic root of 5023968 is about 171.2703905960.

The spelling of 5023968 in words is "five million, twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 887 944 1416 1774 1888 2661 2832 3548 5322 5664 7096 10644 14192 21288 28384 42576 52333 85152 104666 156999 209332 313998 418664 627996 837328 1255992 1674656 2511984 5023968