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4803968 = 27132887
BaseRepresentation
bin10010010100110110000000
3100001001210202
4102110312000
52212211333
6250544332
755555511
oct22246600
910031722
104803968
112791324
1217380a8
13cc27b0
148d0a08
1564d5e8
hex494d80

4803968 has 32 divisors (see below), whose sum is σ = 10310160. Its totient is φ = 2216448.

The previous prime is 4803961. The next prime is 4803971. The reversal of 4803968 is 8693084.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 4 + 8 + 0 + 39 + 97 + 64 + 8 .

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4803961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221 + ... + 3107.

Almost surely, 24803968 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 4803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155080).

4803968 is an abundant number, since it is smaller than the sum of its proper divisors (5506192).

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

4803968 is a wasteful number, since it uses less digits than its factorization.

4803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 4803968 is about 2191.7956109090. The cubic root of 4803968 is about 168.7330027690.

The spelling of 4803968 in words is "four million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2887 5774 11548 23096 37531 46192 75062 92384 150124 184768 300248 369536 600496 1200992 2401984 4803968