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2987472 = 243109571
BaseRepresentation
bin1011011001010111010000
312121210001010
423121113100
51231044342
6144010520
734251555
oct13312720
95553033
102987472
111760594
121000a40
13807a47
1457aa2c
153e029c
hex2d95d0

2987472 has 40 divisors (see below), whose sum is σ = 7802080. Its totient is φ = 984960.

The previous prime is 2987459. The next prime is 2987473. The reversal of 2987472 is 2747892.

2987472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2987472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987473) 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 7 ways as a sum of consecutive naturals, for example, 4947 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (195052).

22987472 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 2987472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901040).

2987472 is an abundant number, since it is smaller than the sum of its proper divisors (4814608).

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

2987472 is a wasteful number, since it uses less digits than its factorization.

2987472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 2987472 is about 1728.4305019294. The cubic root of 2987472 is about 144.0239157809.

The spelling of 2987472 in words is "two million, nine hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 571 654 872 1142 1308 1713 1744 2284 2616 3426 4568 5232 6852 9136 13704 27408 62239 124478 186717 248956 373434 497912 746868 995824 1493736 2987472