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4870144 = 2122941
BaseRepresentation
bin10010100101000000000000
3100011102120201
4102211000000
52221321034
6252214544
756252446
oct22450000
910142521
104870144
112827014
12176a454
131016956
1490ab96
15663014
hex4a5000

4870144 has 52 divisors (see below), whose sum is σ = 10320660. Its totient is φ = 2293760.

The previous prime is 4870139. The next prime is 4870157. The reversal of 4870144 is 4410784.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 3686400 = 1088^2 + 1920^2 .

It is a congruent number.

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, 118764 + ... + 118804.

Almost surely, 24870144 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 4870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160330).

4870144 is an abundant number, since it is smaller than the sum of its proper divisors (5450516).

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

4870144 is an equidigital number, since it uses as much as digits as its factorization.

4870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4870144 is about 2206.8402751445. The cubic root of 4870144 is about 169.5042535400.

The spelling of 4870144 in words is "four million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 256 328 464 512 656 928 1024 1189 1312 1856 2048 2378 2624 3712 4096 4756 5248 7424 9512 10496 14848 19024 20992 29696 38048 41984 59392 76096 83968 118784 152192 167936 304384 608768 1217536 2435072 4870144