Search a number
-
+
2991472 = 241123739
BaseRepresentation
bin1011011010010101110000
312121222112021
423122111300
51231211342
6144041224
734266331
oct13322560
95558467
102991472
1117635a0
121003214
13809803
1457c288
153e1567
hex2da570

2991472 has 40 divisors (see below), whose sum is σ = 6606720. Its totient is φ = 1298880.

The previous prime is 2991463. The next prime is 2991481. The reversal of 2991472 is 2741992.

It is a happy number.

2991472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2991463) and next prime (2991481).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 3679 + ... + 4417.

It is an arithmetic number, because the mean of its divisors is an integer number (165168).

22991472 is an apocalyptic number.

2991472 is a gapful number since it is divisible by the number (22) 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 2991472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303360).

2991472 is an abundant number, since it is smaller than the sum of its proper divisors (3615248).

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

2991472 is a wasteful number, since it uses less digits than its factorization.

2991472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 2991472 is about 1729.5872339954. The cubic root of 2991472 is about 144.0881661725.

It can be divided in two parts, 299 and 1472, that added together give a palindrome (1771).

The spelling of 2991472 in words is "two million, nine hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 739 1012 1478 2024 2956 4048 5912 8129 11824 16258 16997 32516 33994 65032 67988 130064 135976 186967 271952 373934 747868 1495736 2991472