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4998144 = 21031627
BaseRepresentation
bin10011000100010000000000
3100101221011110
4103010100000
52234420034
6255043320
760324564
oct23042000
910357143
104998144
1129041a8
121810540
13105cca8
149416a4
1568ade9
hex4c4400

4998144 has 44 divisors (see below), whose sum is σ = 13330064. Its totient is φ = 1665024.

The previous prime is 4998137. The next prime is 4998181. The reversal of 4998144 is 4418994.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2259 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (302956).

Almost surely, 24998144 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 4998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665032).

4998144 is an abundant number, since it is smaller than the sum of its proper divisors (8331920).

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

4998144 is a wasteful number, since it uses less digits than its factorization.

4998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1632 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 4998144 is about 2235.6529247627. The cubic root of 4998144 is about 170.9764339468.

The spelling of 4998144 in words is "four million, nine hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1627 3072 3254 4881 6508 9762 13016 19524 26032 39048 52064 78096 104128 156192 208256 312384 416512 624768 833024 1249536 1666048 2499072 4998144