Search a number
4898880 = 263757

4898880 has 224 divisors, whose sum is σ = 19994880. Its totient is φ = 1119744.

The previous prime is 4898863. The next prime is 4898917. The reversal of 4898880 is 888984.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699837 + ... + 699843.

Almost surely, 24898880 is an apocalyptic number.

4898880 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 4898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997440).

4898880 is an abundant number, since it is smaller than the sum of its proper divisors (15096000).

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

4898880 is an frugal number, since it uses more digits than its factorization.

4898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 4898880 is about 2213.3413654473. The cubic root of 4898880 is about 169.8369832914.

It can be divided in two parts, 4898 and 880, that added together give a triangular number (5778 = T107).

The spelling of 4898880 in words is "four million, eight hundred ninety-eight thousand, eight hundred eighty".