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4803960 = 2335721943
BaseRepresentation
bin10010010100110101111000
3100001001210110
4102110311320
52212211320
6250544320
755555500
oct22246570
910031713
104803960
112791317
1217380a0
13cc27a5
148d0a00
1564d5e0
hex494d78

4803960 has 192 divisors, whose sum is σ = 18057600. Its totient is φ = 1016064.

The previous prime is 4803959. The next prime is 4803961. The reversal of 4803960 is 693084.

It is an interprime number because it is at equal distance from previous prime (4803959) and next prime (4803961).

It is a Harshad number since it is a multiple of its sum of digits (30).

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

4803960 is a modest number, since divided by 3960 gives 480 as remainder.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111699 + ... + 111741.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

Almost surely, 24803960 is an apocalyptic number.

4803960 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 4803960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028800).

4803960 is an abundant number, since it is smaller than the sum of its proper divisors (13253640).

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

4803960 is a wasteful number, since it uses less digits than its factorization.

4803960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4803960 is about 2191.7937859206. The cubic root of 4803960 is about 168.7329091059.

The spelling of 4803960 in words is "four million, eight hundred three thousand, nine hundred sixty".