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4888144 = 242337359
BaseRepresentation
bin10010101001011001010000
3100012100021101
4102221121100
52222410034
6252434144
756356102
oct22513120
910170241
104888144
112839598
121778954
131021bc1
14913572
15668514
hex4a9650

4888144 has 40 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 2268288.

The previous prime is 4888139. The next prime is 4888157. The reversal of 4888144 is 4418884.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13437 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 24888144 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 4888144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

4888144 is an abundant number, since it is smaller than the sum of its proper divisors (5289776).

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

4888144 is a wasteful number, since it uses less digits than its factorization.

4888144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its digits is 32768, while the sum is 37.

The square root of 4888144 is about 2210.9147428157. The cubic root of 4888144 is about 169.7128254253.

The spelling of 4888144 in words is "four million, eight hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 359 368 592 718 851 1436 1702 2872 3404 5744 6808 8257 13283 13616 16514 26566 33028 53132 66056 106264 132112 212528 305509 611018 1222036 2444072 4888144